613.25 N is the weight of water will be displaced by a 50 kg floating oak beam, if oak is 0.8 times dense of water.
Density of water, = 1000 kg/m³
Density of oak, = 0.8 × 1000 = 800 kg/m³
Floating of an object is possible if the upward force exerted by the water is equal to the weight of the object. And this upward force is equal to the weight of water displaced by the floating object.
Volume of the water displaced by the 50 kg oak, V = 50/800 = 0.0625 m³
Mass of the displaced water = 0.0625 × 1000 = 62.5 kg
Weight of the displaced water = 62.5 × 9.81 = 613.13 N.
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Suppose astronomers built a 100-meter telescope. How much greater would its light-collecting area be than that of the 10-meter Keck telescope
The light collecting area of the 100-m telescope will be 100 times the light collecting area of the 10-meter keck telescope.
Given the diameter of first telescope (d1) = 100m
The diameter of Keck telescope (d2) is = 10m
We know that the light collecting area of a telescope is represented as:
A = πD^2/4 where D is the diameter f telescope.
A1/A2 = πd1^2/πd2^2
A1/A2 = 100 x 100 / 10 x 10 such that A1/A2 = 100
A1 = 100A2
It represents that the light collecting area of the 100-m telescope will be 100 times the light collecting area of the 10-meter keck telescope.
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physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.450 1--lz. the pendulum has a mass of 2.20 kg, and the pivot is located 0.350 m from the center of mass. determine the moment of inertia of the pendulum about the pivot point.
The moment of inertia of the pendulum about the pivot point is [tex]0.385 kg*m^2[/tex]
A physical pendulum in the form of a planar object moves in simple harmonic motion when it oscillates about a pivot point, and the frequency of oscillation is determined by the moment of inertia of the pendulum about the pivot point.
The frequency of oscillation of the pendulum is given as 0.450 Hz. The moment of inertia of the pendulum I can be calculated using the equation:
[tex]I = m * L^2[/tex]
where m is the mass of the pendulum and L is the distance from the pivot point to the center of mass.
In this case, the mass of the pendulum is 2.20 kg and the distance from the pivot point to the center of mass is 0.350 m, so the moment of inertia is:
[tex]I = 2.20 kg * (0.350 m)^2 = 0.385 kg*m^2[/tex]
So, the moment of inertia of the pendulum about the pivot point is [tex]0.385 kg*m^2[/tex]
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HELPPPP ASPPP PLEASE THANK YOU
The real world examples of a transverse wave is: Sound waves, Vibrations on guitar strings, Clapping.
What is transverse wave?A transverse wave is a wave whose oscillations are perpendicular to the wave's advance direction. In contrast, a longitudinal wave moves in the direction of its oscillations. A transverse wave is an example of one. Transverse wave motion occurs when all points on a wave oscillate along paths that are perpendicular to the wave's advance direction. A progressive wave is a transverse wave. A transverse wave's propagation direction is always perpendicular to its vibration direction. A vacuum can only carry a few types of transverse waves. A transverse wave is something like an electromagnetic wave or a light wave.
Here,
Sound waves, vibrations on guitar strings, and clapping are all real-world examples of transverse waves.
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an empty truck with a mass of 2500 kg has an engine that will accelerate at a rate of 1.5 m/s what will happen if the truck is carrying an additional weight of 1500kg
The acceleration of the truck when an additional weight of 1500kg is added to an empty truck of mass 2500kg is 0.9375 m/s².
What is Acceleration?Acceleration is the rate of change of the velocity of an object with respect to the time interval. Acceleration is a vector quantity. The orientation of an object's acceleration is given through the orientation of the net force which is acting up on that object.
Force = Mass × acceleration
Empty truck Mass = 2500 kg
Acceleration = 1.5 m/s²
Force = 2500 × 1.5
Force = 3750 N
Additional load of 1500 kg
Total Mass = (2500 + 1500)kg = 4000 kg
3750 = 4000 × a
a = 3750 /4000
a = 0.9375 m/s²
Acceleration when the truck has an additional load of 1500 kg is 0.9375 m/s².
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an electric field of constant magnitude 'e' is tangent everywhere to a curved surface of area 'a'. what is the electric flux through the curved surface?
Option B, EA is the surface's electric flux. Due to the fact that the electric flux is defined as the electric field times the surface area it traverses.
The electric flux can be calculated as EA because the surface area is known and the electric field strength is constant.
Electric flux is a measurement of the strength of an electric field flowing through a specific surface. It is calculated by dividing the electric field's strength by the surface area through which it passes.
If the surface area is known and the electric field magnitude is constant in this situation, finding the electric flux can be done by simply multiplying these two numbers.
EA is the mathematical abbreviation for this, where A denotes the surface area and E is the electric field.
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The question is -
(A) An electric field of constant magnitude is tangent everywhere to a curved surface of area . What is the electric flux through the curved surface?
a) Zero
b) EA
c) –EA
d) 2EA
e) Not enough information
A subatomic particle that carries a negative charge.
is the smallest particle made up of three subatomic particles, Neutrons, Protons, and Electrons.
FALSE: An atomic-scale object with a negative charge. It is consisting of three subatomic particles, Neutrons, Protons, and Electrons, and is the smallest particle known is a "incorrect" statement.
Define the term subatomic particle?Any of the multiple self-contained units like substance or energy that make up the building blocks of all matter are considered subatomic particles, also known as elementary particles.
They include the heavier constituents of the small but extremely dense atom's nucleus, the positive charge protons and also the electrically neutral neutrons, as well as the electrons, those negatively charged, nearly massless particles that still make up the majority of the atom's size. The only observed subatomic particles, however, are not these fundamental atomic building blocks. For instance, quarks are the building blocks of protons and neutrons, and the electron is just one of several basic particles in this group, which also comprises the muon as well as the neutrino.Thus, an atomic-scale object with a negative charge. It is consisting of three subatomic particles, Neutrons, Protons, and Electrons, and is the smallest particle known is a "incorrect" statement.
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The complete question is-
A subatomic particle that carries a negative charge. It is the smallest particle made up of three subatomic particles, Neutrons, Protons, and Electrons. (TRUE/ FALSE)
David wrote Five $10 Checks and two check for 100 each
A group of people are pushing a stalled car with a mass of 1100 kg. If they push with a net force of 350 Newtons for 10 seconds, what is the car’s velocity?
The car would move with a velocity of 3.182 m/s if they applied a net force of 350 Newtons for 10 seconds.
What is meant by net force?The net force is the total of all the forces operating on an object, according to its definition. Mass can be accelerated by net force. Whether a body is at rest or in motion, another force is at work on it. When a system has a lot of forces acting on it, the phrase "net force" is employed.
The net force, sometimes referred to as the resultant force, is the total force acting concurrently on an item. For instance, a rope being pulled from the right by a force of five newtons and from the left by a force of three newtons will experience a net force of two newtons from the right.
A bunch of individuals are pulling an automobile that weighs 1100 kg and is stuck in traffic. The car would move with a velocity of 3.182 m/s if they applied a net force of 350 Newtons for 10 seconds.
Therefore, the car’s velocity would be 3.182 m/s.
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In a certain lab experiment, a spring gun was placed on a table and fired steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor.
(a) Determine the time that the ball is in the air.
(b) Determine the initial velocity of the ball.
Show your work.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
What exactly is speed?A body's velocity is defined as the rate at which its displacement alters over time. Having both magnitude and direction, velocity is a vector quantity.
A body's velocity is defined as the rate at which its displacement alters over time.
The point is 1.0 meters tall vertically.
The ball rolled across a horizontal distance of 2.7 meters.
(H/2g) is the length of time the ball has been in the air.
= √(1.0/2×9.8)
is 0.23 seconds
b) The ball travels at an initial horizontal velocity of = 2.7 m/0.23 s.
= 11.74 m/s.
a) There are 0.23 seconds in which the ball is in the air.
b) 11.74 meters per second is the ball's initial horizontal speed.
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A candy maker offers Child and Adult bags of jelly beans with different color mixes. The company claims that the Child mix has 30% red jelly beans, while the Adult mix contains 15% red jelly beans. Assume that the candy maker's claim is true. Suppose we take a random sample of 50 jelly beans from the Child mix and a separate random sample of 100 jelly beans from the Adult mix. Let (pc - pa) and be the sample proportions of red jelly beans from the Child and Adult mixes, respectively.
(a) What is the shape of the sampling distribution of ?Why?
(b) Find the mean of the sampling distribution. Show your work.
(c) Find the standard deviation of the sampling distribution. Show your work.
(a) The shape of the sampling distribution of (pc - pa) is normal ,(b) The mean of the sampling distribution of (pc - pa) is 15% and The standard deviation of the sampling distribution 0.051.
(a) The shape of the sampling distribution of (pc - pa) is normal. This is because the sample proportions of red jelly beans from the Child and Adult mixes are generated from independent random samples of jelly beans, and the Central Limit Theorem states that the sampling distribution of a sample proportion will be approximately normal when the sample size is large.
(b) The mean of the sampling distribution of (pc - pa) is 15%. This is because the expected proportion of red jelly beans in the Child mix is 30%, while the expected proportion of red jelly beans in the Adult mix is 15%. Thus, the difference in the expected proportions is 15%.
(c) The standard deviation of the sampling distribution of (pc - pa) can be calculated as follows:
Standard Deviation = sqrt((pchild*(1-pchild))/nchild + (padult*(1-padult))/nadult)
= sqrt((0.30*(1-0.30))/50 + (0.15*(1-0.15))/100)
= sqrt(0.021 + 0.0045)
= 0.051
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if a second object b with the same charge as a is placed at 0.250 m south of a (so that objects a and b and point p follow a straight line), what is the magnitude of the total electric field produced by the two objects at p?
The magnitude of the total electric field produced by the two objects at point p is 4*k*qa/0.25 m^2.
What is electric field?Electric field is a physical quantity used to describe the strength and direction of an electric force on a charged particle. It is a vector field, meaning that it has both a magnitude and a direction associated with it.
The total electric field at point p is the vector sum of the electric fields produced by object a and object b.
The electric field produced by each object at point p is given by:
E = k*q/r^2
where k is the Coulomb constant, q is the charge of the object, and r is the distance from the object to point p.
Therefore, the electric field produced by object a is:
Ea = k*qa/ra^2
And the electric field produced by object b is:
Eb = k*qb/rb^2
Since the charges of a and b are the same, we can use the same value for qa and qb. We can also use the same value for k.
Therefore, the total electric field at point p is:
E = Ea + Eb = k*qa/ra^2 + k*qb/rb^2
Substituting in the values given in the question:
E = k*qa/(0.250 m)^2 + k*qa/(0.500 m)^2
Simplifying gives:
E = 4*k*qa/0.25 m^2
Therefore, the magnitude of the total electric field produced by the two objects at point p is: E = 4*k*qa/0.25 m^2.
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a proton is placed at a point where the electric field (due to other charges) is where is a constant with si units of n/c. what is the electric force on the proton? (e is the elementary charge: e
What is Electric Field?
-- Electric field, an electric property associated with each point in space when charge is present in any form.
--The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field..
What is electric force ?
-- The repulsive or attractive interaction between any two charged bodies is called as electric force.
-- Similar to any force, its impact and effects on the given body are described by Newton's laws of motion.
-- The electric force is one of the various forces that act on objects.
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A lightbulb has a power of 12 W. It has an efficiency of 80%.
Calculate the amount of time taken in seconds for the bulb to transfer 300 J of energy
into light energy.
The amount of time taken in seconds for the bulb to transfer 300 J of energy into light energy is 37.5 seconds. (300 J / ( 12 W * 0.8))
How does the efficiency of a lightbulb affect the amount of energy it transfers into light energy?The efficiency of a lightbulb is a measure of how much of the energy it consumes is converted into light energy, and how much is wasted as heat. A lightbulb with a higher efficiency will convert a greater proportion of the energy it consumes into light energy, and will therefore produce more light for the same amount of energy consumed. Conversely, a lightbulb with a lower efficiency will convert a smaller proportion of the energy it consumes into light energy, and will therefore produce less light for the same amount of energy consumed. The efficiency of a lightbulb is usually represented as a percentage, with 100% indicating that all the energy consumed is converted into light energy, and 0% indicating that none of the energy consumed is converted into light energy.
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The amount of time taken in seconds for the bulb to transfer 300 J of energy into light energy is 37.5 seconds.
Evaluating :Power = 12W
Efficiency = 80%
Energy = 300 J
Time taken = (300 J / ( 12 W * 0.8))
= 37.5 seconds
Electric light bulb :The efficiency of a lightbulb is a measure of how much of the energy it consumes is converted into light energy, and how much is wasted as heat. A lightbulb with a higher efficiency will convert a greater proportion of the energy it consumes into light energy, and will therefore produce more light for the same amount of energy consumed.
Conversely, a lightbulb with a lower efficiency will convert a smaller proportion of the energy it consumes into light energy, and will therefore produce less light for the same amount of energy consumed. The efficiency of a lightbulb is usually represented as a percentage, with 100% indicating that all the energy consumed is converted into light energy, and 0% indicating that none of the energy consumed is converted into light energy.
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at what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground?
The angle at which ball should be thrown so that runner will catch it just before it hits the ground depends on several factors, such as the distance between the thrower and runner, speed of the runner, speed of the ball, and the height of runner's catch.
What angle above horizontal the ball should be thrown so that runner will catch it just before it hits the ground?To maximize the chances of the runner catching the ball, it should be thrown at an angle that is slightly above horizontal and that allows ball to travel the greatest distance possible while still giving the runner enough time to reach ball's landing point.
To determine the angle at which the ball should be thrown, following information is needed:
Distance between the thrower and the runner, Speed of the runner, Speed of the ball and Height of the runner's catch
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what type of gaussian surface is best to determine the electric field from a large (ignore edge effects) sheet of charge?
The easiest way to extract the electric field from a big sheet of charge is to use a cylindrical gaussian surface. Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.
The easiest way to extract the electric field from a big sheet of charge is to use a cylindrical Gaussian surface. Calculating the flux through the surface is simple since the cylinder-shaped surface encloses the sheet of charge and the electric field lines are parallel to the axis of the cylinder. The symmetry of the cylindrical surface also makes it simple to calculate the electric field. If the cylindrical Gaussian surface is selected to be sufficiently big in comparison to the size of the sheet, the edge effects can be disregarded. Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.
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a support supplies a force of 5 kn to a wall as shown below. what is the moment (in kn-m) produced by this force about an axis in the direction of i j k (from the origin)?
The moment (in KN-m) produced by the force about an axis in the direction of i+j+k (from the origin) if a force of 5 KN to a wall is 5 (cos θ + sin θ)
That is called torque when we calculate its moment of force. Torque is а meаsure of the force thаt cаn cаuse аn object to rotаte аbout аn аxis. Just аs force is whаt cаuses аn object to аccelerаte in lineаr kinemаtics, torque is whаt cаuses аn object to аcquire аngulаr аccelerаtion.
We are given:
Force = 5 KN
Horizontal Component i = [tex]F_{x}[/tex] = 5 cos θ
Vertical Component j = [tex]F_{y}[/tex] = 5 sin θ
x component of the moment (in kN-m):
M = [tex]F_{x}[/tex] × d
= 5 cos θ × d (kN - m)
d is the distance of the force form origin.
Force about an axis in the direction of i + j + k:
= [tex]F_{x}[/tex] + [tex]F_{y}[/tex] + [tex]F_{z}[/tex]
= 5 cos θ + 5 sin θ + 0
= 5 (cos θ + sin θ)
Your question is incomplete, but most probably your full question can be seen in the Attachment.
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4. This is the total distance moved during a time period. Like traveling 60 miles in 1 hour. *
(1 Point)
Distance
O Displacement
O Acceleration
O Speed
Speed is a measure of how far an object travels in a given amount of time. In this example, the speed is 60 miles per hour.
What is Speed?Speed is the rate at which an object moves in a given amount of time. It is an important measure of the rate of motion, and can be expressed in many different units including meters per second, miles per hour, kilometers per hour, and more. Speed is the magnitude component of velocity, which is the vector quantity that describes both the speed and direction of an object. Speed is a scalar quantity, meaning that it has magnitude or size but no direction associated with it. In physics, speed is typically measured with the use of a speedometer or other instrument to detect the rate at which an object is moving.
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the andromeda galaxy is approximately two million light-years distant from earth as measured in the earth-linked frame. is it possible for you to travel from earth to andromeda in your lifetime? to answer this question, start by answering a series of trips from earth to andromeda, each one faster than the one before. for simplicity, assume the earth-andromeda distance to be exactly two million light-years in the earth frame, treat earth and andromeda as points, and neglect any relative motion between earth and andromeda. your one-way trip takes a time 2.01 times 10^6 years (measured in the earth-linked frame) to cover the distance of 2.00 times 10^6 light-years. how long does the trip last as measured in your rocket frame? what is your rocket speed on trip 1 as measured in the earth-linked frame? express this speed as a decimal fraction of the speed of light. your one-way earth-andromeda trip takes 2.001 times 10^6 years as measured in the earth-linked frame. how long does this trip last as measured in your rocket frame? what is your rocket speed for trip 2 expressed as a fraction of the speed of light? now set the rocket time for the one-way trip to 20 years, which is all the time you want to spend getting to andromeda. in this case, what is your speed as a decimal fraction of the speed of light?
No, it is not possible for you to travel from Earth to Andromeda in your lifetime.
What is Andromeda?Andromeda is a constellation located in the northern sky. It is named after the princess Andromeda in Greek mythology, who was chained to a rock as an offering to a sea monster.
To travel this distance in 20 years, you would need to travel at a speed of 0.99999999999999999c (where c is the speed of light). This is impossible, as nothing can travel faster than the speed of light.
The time it takes for the one-way trip to Andromeda as measured in the Earth-linked frame is 2.01 x 10^6 years. As measured in the rocket frame, this trip would take slightly longer due to time dilation effects caused by the high speed of the rocket. The rocket speed on Trip 1 as measured in the Earth-linked frame would be 0.00049975c, which is a decimal fraction of the speed of light.
For Trip 2, if we set the rocket time for the one-way trip to 20 years, then our speed would be 0.99999999999999999c as a decimal fraction of the speed of light. This is impossible, as nothing can travel faster than the speed of light.
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On Jupiter, g = 25N/kg. Calculate the energy gained when the same 2kg mass is raised by 3m.
The gravitational potential energy that have been gained by the body is 150 J.
What is the energy that is gained?Now, we have to look at the fact that the gravitational potential energy of the object would depend on the position of the object that is placed in space. We know that the acceleration due to gravity would depend on the position of the object also in the universe.
Then, we can be able to obtain the gravitational potential energy that has been gained from;
E = mgh
E = energy
m = mass
g = acceleration due to gravity
h = height
Thus we have;
E = 2 * 25 * 3
= 150 J
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which types of geometrical symmetry does a sphere have?
A. Rotational symmetry
B. Reflection symmetry
C. Translational symmetry
The sphere has two geometrical symmetries, they are
1. Rotational symmetry
2. Reflection symmetry
What is Rotational Symmetry?Rotational symmetry: An object's ability to maintain the same shape when rotated about its own axis is known as rotational symmetry. When turned 180 degrees or at certain angles, either clockwise or counterclockwise, many geometrical forms appear to be symmetrical. Examples include the square, circle, hexagon, and more.
What is Reflection Symmetry?Reflection symmetry: Symmetry with regard to reflections is known as reflection symmetry. Mirror or line symmetry are other names for reflection symmetry. If a figure is divided into two halves, one of the halves must be the mirror image of the other, according to this rule.
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Geometrical symmetry states that a sphere has reflection symmetry. The orthogonal group O is the name of the symmetry group of the sphere, which includes reflections (3).
Which symmetry in geometry does a spherical possess? Geometrical symmetry states that a sphere has reflection symmetry. The orthogonal group O is the name of the symmetry group of the sphere, which includes reflections (3). The special orthogonal group SO is the symmetry group that only has rotations (3).Further investigation reveals that two electrons spinning in the same direction at the same time cannot be positioned in the same location due to the two-fold rotational property of spherical symmetry.Spherical geometry is the three-dimensional, spherical counterpart of Euclidean or planar geometry and is described as "the study of figures on the surface of a sphere" (MathWorld).In physics, a body is considered to have spherical symmetry if only its density varies with distance from the center.To learn more about geometrical symmetry refer
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physical science worksheet conservation of energy #1
(use g = 10 m/sr for atl catculfiions)
physical science worksheet conservation of energy based on this formula. ME=GPE + KE.
What is meant by energy ?
Energy is referred to by scientists as the capacity for work.People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."Even though the definition is unclear, the meaning is clear: energy is simply the force that moves things.Energy can take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on.Each form has the ability to shift or transform into the others.1m/sr = GPE = 85
KE= 7J
ME=155
10m/sr GPE = 15J
KE= 05J
ME=155
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if the kinetic energy of the electron is 1.6 x 10-17 j and if the electron is to stop just as it reaches the plate, how far from the plate must the launch point be
The distance from the launch point to the plate is x = 0/v = 0/√3.5 x 10-15 = 0, meaning that the launch point must be at the same point as the plate.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy associated with the movement of an object or particle, and is defined as the work needed to accelerate the object to its current velocity. Kinetic energy is a form of energy that is always associated with the movement of an object, regardless of its speed or direction. It is calculated by multiplying the mass of the object by the square of its velocity. Kinetic energy exists in both living and non-living objects, and is a key factor in the behavior of these objects.
The distance between the launch point and the plate can be determined using the formula for kinetic energy, which is E = ½mv². To solve for the distance, we rearrange the equation to v² = 2E/m and then plug in the given values: v² = 2(1.6 x 10-17)/(9.11 x 10-31) = 3.5 x 10-15. Then, using the equation x = vt, we solve for the distance x, where t is the time it takes for the electron to reach the plate. Since the electron needs to come to a complete stop, we set the velocity equal to zero. Thus, the distance from the launch point to the plate is x = 0/v = 0/√3.5 x 10-15 = 0, meaning that the launch point must be at the same point as the plate.
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the african antelope known as a springbok will occasionally jump straight up into the air, a movement known as a pronk. the speed when leaving the ground can be as high as 8.2 m/s. how many seconds will it stay in the air?
Answer: Man will stay in air in 0.83 sec.
What is speed ?
--Speed is defined as.
--The rate of change of position of an object in any direction.
--Speed is measured as the ratio of distance to the time in which the distance was covered.
--A body that moves with constant acceleration means that it moves in "a uniformly --accelerated movement", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.
When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.
Vf=Vo+a.t (1)
{Vf^{2}-Vo^2}/{2.a} =X (2)
X=Xo+ VoT+0.5at^{2} (3)
X=(Vf+Vo)T/2 (4)
Where
Vf = final speed
Vo = Initial speed
T = time
A = acceleration
X = displacement
In conclusion to solve any problem related to a body that moves with constant acceleration we use the 3 above equations and use algebra to solve
To solve this problem we must divide it in tow parts, the first is when the springbok accelerates upwards with 35m / S ^ 2, the objective of the first part is to find the final speed using equation number 2
Part 1
Vo=0
a= 35 m/s2
x=0.7m
{Vf^{2}-Vo^2}/{2.a} =X
solving for Vf
, the final velocity of part 1 is the initial velocity of movement 2, and the acceleration is the gravity = -9.81m / s ^ 2.
we use the ecuation number tow(2)
Vo=7m/s
a=g=-9.81m/S^2
Vf=0m/s
{Vf^{2}-Vo^2}/{2.a} =X
{0^{2}-(7)^2}/{2.(-9.81)} =X
X=2.5m
finally the distance traveled is the sum of the distances of part 1 and 2
object in air 0.83 sec.
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four point charges lie on the vertices of a square with side length . two adjacent vertices have charge while, the other two have charge . what is the m
the Magnitude of the electric field at the center of the square has four-point charges lying on the vertices of a square with side length. two adjacent vertices have charge while the other two have charge will be q1/([tex]\sqrt{2\\}[/tex]Πε[[tex]x^{2}[/tex]+[tex]1^{2}[/tex][tex]]^{3/2}[/tex].
Lets all the 4 charges have the charge of q1 (two with the same charge and the other two with another charge) so E1 (Electric field) will be
E1 =2Ecosθ = 2kq/[[tex]x^{2}+1^{2}[/tex]]^3/2 along AC; E2 = 2Ecosθ = 2kq/[[tex]x^{2}+1^{2}[/tex]]^3/2 along DB
so E1⊥E2. The net field will be adding both the electric field
E0 = [tex]\sqrt{E1^{2} +E2^{2} }[/tex] = 2[tex]\sqrt{2}[/tex]kql/[[tex]x^{2}+1^{2}[/tex]]^3/2
=> q1/([tex]\sqrt{2\\}[/tex]Πε[[tex]x^{2}+1^{2}[/tex]]^3/2
Which is the resultant of the electric field of all four charges on the vertexes of the square.
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A moving electron has kinetic energy K1 After a net amount of work W has been done on it, the electron is moving one-quarter as fast in the opposite direction. Find W in terms of K1
The final kinetic energy of the electron is K2 = K1/4 since it is moving one-quarter as fast. The work done on the electron can be found using the equation W = K2 - K1 = K1/4 - K1 = -3/4K1. So, W=-3/4K1
How does the velocity of an object affect its kinetic energy?
The velocity of an object is directly proportional to its kinetic energy. As the velocity of an object increases, so does its kinetic energy. This relationship is described by the equation K = 1/2 * m * v^2, where K is the kinetic energy, m is the mass of the object and v is its velocity. This equation shows that the kinetic energy of an object is proportional to the square of its velocity. This means that if the velocity of an object is doubled, its kinetic energy will increase by a factor of four. Conversely, if the velocity of an object is halved, its kinetic energy will decrease by a factor of four.
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After a net amount of work W has been done on it, the electron is moving one-quarter as fast in the opposite direction W in terms of K1 = W= -3/4K1
Evaluating :The final kinetic energy of the electron is K2 = K1/4 since it is moving one-quarter as fast.
The work done on the electron can be found using the equation
W = K2 - K1
= K1/4 - K1
= -3/4K1.
So, W= -3/4K1
How does the velocity of an object affect its kinetic energy?The velocity of an object is directly proportional to its kinetic energy. As the velocity of an object increases, so does its kinetic energy. This relationship is described by the equation K = 1/2 × m × v², where K is the kinetic energy, m is the mass of the object and v is its velocity.
This equation shows that the kinetic energy of an object is proportional to the square of its velocity. This means that if the velocity of an object is doubled, its kinetic energy will increase by a factor of four. Conversely, if the velocity of an object is halved, its kinetic energy will decrease by a factor of four.
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if a test charge of magnitude twice as large as the original test charge were placed at point a, how would the force it feels compare to the force felt by the original test charge when it was placed at point a?
The force felt by the larger test charge would be twice as large as the force felt by the original test charge.
This is because the force felt by a test charge in an electric field is directly proportional to the magnitude of the test charge. The electric field is a vector field and the force experienced by a test charge is given by the product of the charge of the test particle and the electric field at that point.
So, when the magnitude of the test charge is doubled, the force experienced is also doubled. Therefore, if a test charge of magnitude twice as large as the original test charge were placed at point a, it would feel twice the force that the original test charge felt when it was placed at that same point.
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A system consists of two positive point charges, q1 and q2>q1. The total charge of the system is 70. 0 μC , and each charge experiences electrostatic force of magnitude 82. 0 N when the separation between them is 0. 270 m. Find q1 and q2
When each charge experiences electrostatic force of magnitude 82.0 N and the separation between them is 0.270 m. Then q1 is 3.5 x 10^-9 C
and q2 is 6.65 x 10^-9 C.
The electrostatic force between two charges is given by Coulomb's law:
F = k x q1 x q2 / r^2
where F is the electrostatic force, q1 and q2 are the charges, r is the distance between the charges, and k is Coulomb's constant (8.99 x 10^9 N x m^2/C^2).
We know that:
F = k x q1 x q2 / r^2 = 82.0 N
r = 0.270 m
And the total charge of the system is 70.0 μC = 70.0 x 10^-6 C
We can use these equations to find the values of q1 and q2. First, we can use the equation for the electrostatic force to find the product of the two charges:
q1 x q2 = F x r^2 / k = 82.0 x (0.270)^2 / (8.99 x 10^9)
Next, we can use the equation for the total charge to find the sum of the two charges:
q1 + q2 = 70.0 x 10^-6
Now we have two equations and two unknowns. We can use these equations to find q1 and q2.
Solving for q1 and q2, we get:
q1 = 3.5 x 10^-9 C
q2 = 6.65 x 10^-9 C
q1 and q2 are the charges on the point charges.
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If the total mechanical energy of a swinging pendulum is 75 J,
and its mass is 5. 0 kg, what is the maximum height reached?
Use g = 10 m/s2
___m
The total mechanical energy of the pendulum can be divided into potential energy and kinetic energy.
At the maximum height, the kinetic energy is 0 and all the energy is potential energy.
Therefore, the maximum height (h) can be calculated using the equation: h = (PE/m) / g = (75/5) / 10 = 1.5 m.
How does the velocity of a pendulum at its maximum height relate to its total mechanical energy?The rate of a pendulum at its maximum height is same to 0. At this factor, all the pendulum's overall mechanical electricity is in the shape of gravitational capacity strength. Because the pendulum swings down, the ability power is converted into kinetic electricity, achieving a maximum price at the lowest of its swing in which its pace is finest. On the most peak, the pendulum has no pace and consequently no kinetic energy, however its ability strength is at its most fee. For this reason, the speed of a pendulum at its most height is inversely proportional to its general mechanical strength.
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The maximum height reached by the pendulum is 15 meters.
What do you mean by Potential Energy?Potential energy is a type of energy that an object possesses as a result of its position or configuration in a force field. It is energy stored in an object due to its height above a reference point, its state of compression or tension, or the arrangement of its constituent parts. Potential energy is relative to a reference point and is dependent on the strength of a particular force field. For example, the potential energy of an object on the edge of a cliff is related to the object's height above the ground, and the potential energy of a stretched spring is related to the amount it is stretched or compressed. The potential energy of an object can be converted into other forms of energy, such as kinetic energy, when the object is released or otherwise allowed to move in the force field.
To find the maximum height reached by a pendulum, we need to know the initial potential energy of the system, which is given by the equation:
PE = mgh
where m is the mass of the pendulum (5.0 kg), g is the acceleration due to gravity (10 m/s2), and h is the height.
Since the total mechanical energy of the system is given (75 J), we can set this equal to the initial potential energy:
75 J = 5.0 kg * 10 m/s2 * h
Solving for h, we find:
h = 75 J / (5.0 kg * 10 m/s2) = 15 m
So the maximum height reached by the pendulum is 15 meters.
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A 3.0-cm object is placed 8.0 cm in front of a mirror. The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar.
. Determine the focal length of the concave mirror. (a) 6.0 cm (c) 24 cm (e) 96 cm (b) 12 cm (d) 48 cm
. Determine the image height in the concave mirror. (a) 0.5 (c) 2.0 (e) 4.5 (b) 1.5 (d) 3.0
The focal length and image height of the concave mirror is 24cm and 4.5cm respectively. So, the correct options are (C) and (E) respectively.
What is Concave mirror?A concave mirror is defined as a reflective surface that is curved inward and away from the light source to reflect light inward at a focal point. Convex mirror is the image formed by a concave mirror shows different types of image depending on the distance between the object and the mirror.
The focal length of the mirror is :
[tex]1/f = 1/d_o + 1/d_i[/tex]
where, [tex]d_o[/tex] and [tex]d_i[/tex] are distances of object and image respectively
For normal mirror[tex]d_o = d_i = 8[/tex]
For concave mirror [tex]d_o = 8; d_i = 12[/tex]
1/f = 1/8 - 1/12 (following sign conventions)
f = 24cm
object height = 3cm
Height of the image is 3*12/8 = 4.5cm
Thus, the focal length and image height of the concave mirror is 24cm and 4.5cm respectively. So, the correct options are (C) and (E) respectively.
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A boy exerts a 45 N horizontal force as he pulls a 62 N sled across a cement sidewalk at constant speed. What is the coefficient of kinetic friction between the sidewalk and the metal sled runners? Ignore air resistance
The ratio of the friction force to the normal force that a body travelling over a dry, uneven surface experiences is known as the kinetic friction coefficient (k).
How much snow does the sled encounter during its motion?The sled's runners experience kinetic frictional force from the snow, which causes the sled to slow down and ultimately come to a stop. Kinetic friction has a 0.050 coefficient.The resistive friction force (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), a numerical value. The formula fr = Fr/N is used to represent it.The ratio of the friction force to the normal force that a body travelling over a dry, uneven surface experiences is known as the kinetic friction coefficient (k). A pretty clever approach described by can be used to determine k with a fair amount of accuracy.To learn more about kinetic friction coefficient (k) refer to:
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