The time required for the rock to reach the ground is 1.11 second.
What is acceleration?
Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Initial height of the rock: h = 6.00 m.
Acceleration due to gravity: g = 9.8 m/s²
Let, the time required for the rock to reach the ground is = t.
Then:
h = 1/2 × gt²
t = √(2h/g)
= √ {(2 × 6.00)/9.8} second.
= 1.11 second.
Hence, the time required for the rock to reach the ground is 1.11 second.
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a boat can move at 30 km/h in still water. how long will it take to move 12 km upstream in a river flowing 6.0 km/h?
A boat can move at 30 km/h in still water, so to move 12 km upstream in a river flowing 6.0 km/h, it will take 20 minutes.
Water is referred to as still water when its motion is zero, or when it is still. Motionless water is defined as water that remains still, not flowing, and has no current, such as in rivers and streams. Therefore, a boat's relative speed on calm water is equal to 12 (a + b) km/hr. The stream is moving at a pace of 1/2 (a - b) km/hr.
Moving upstream, or against the flow of water, refers to a boat going against the current. The distinction when speaking about water in rivers and streams is that upstream is in opposition to the water flow and in the direction of the water's original source (where the river originates).
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A 68.5 kg rocket is to be launched upwards with an acceleration of 3.65 m/s^2. What is the size of the gravitational force acting on the rocket?
Answer:
671,3 Newtons
Explanation:
Fg=mass×g
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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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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for each of the following cases, indicate whether the work done is positive or negative. explain your answers. a) work done by an applied force in lifting a bucket of water upward. fa mg b) work done by the weight of the bucket c) work done by the applied force and mg if the bucket were lowered.
The work done in case a) is positive, in case b) is negative and in case c) is positive.
Work is said to be done when the displacement is occur in the direction of the applied force.
W = F×d×cosθ
Where F is the force, d is the displacement and θ is the angle between the displacement and the direction of the force.
In case a) as the work is done against the direction of the gravity so the work is positive. In case b) the weight of the buckets acts in downwards direction, that is the direction of the acceleration due to gravity. So the work is negative. In case c) the bucket were lowered, it means the displacement is in the direction of the applied force. Hence the work done is positive.
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you are traveling west on the highway. At 1:00 you pass kilometer marker 485. At 4:30 you pass kilometer marker 154. What has your average velocity been.
Technically a question for physical science but i didn't know what to label it.
Your average velocity for the journey has been 94.57 km/h.
What is the average velocity of an object?The average velocity of an object is the ratio of total displacement to the total time of motion of an object.
V = ( total displacement ) / ( total time )
The total displacement of your journey is calculated as;
x = 485 km - 154 km
x = 331 km
The total time of the motion is calculated as;
t = 4:30 - 1:00 = 3:30 = 3.5 hours
v = x / t
v = ( 331 km ) / ( 3.5 hr )
v = 94.57 km/h
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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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nitrogen is contained in a 5-m3 rigid vessel at a pressure of 2200 kpa. (a) determine the mass if the temperature is 25oc. (b) determine the mass if the temperature is 250oc. (c) what would be the height of a column of mercury (in mm) in a manometer for this pressure? the density for mercury is 13600 kg/m3.
Barometric column, barometer column, etc. mercury barometer: a device that uses a mercury column to measure the height of the column (in inches of mercury) to determine atmospheric pressure.
How tall a column does a mercury have vertically?As a result, less than 76 cm of mercury can be held vertically in space by a basic barometer at sea level.Indicators of atmospheric pressure include the mercury column's height. The mercury column rises to a height of roughly 30 inches (76 centimeters) at sea level at a temperature of 0 degrees Celsius (C). This is equivalent to about 14.7 psia of pressure.Ytop minus YBot in HcolumnBarometric column, barometer column, etc. mercury barometer: a device that uses a mercury column to measure the height of the column (in inches of mercury) to determine atmospheric pressure.To learn more about Barometric column refer to:
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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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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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let the sign of q2 be changed from positive to negative. at which position can the point charge q be placed now so that the net electrostatic force on it is zero?
The position of the point charge q can be placed such that the net electrostatic force is -1.857 m.
To find the position where the net electrostatic force on the charge q is zero, we need to apply Coulomb's Law. Coulomb's law states that the electrostatic force between two charges is proportional to the product of the charges and inversely proportional to the square of the charges. distance between them.
In this case, we have two charges Q1 and Q2 at known positions and we need to find the position of the third charge q such that the net force is zero.
By equating the force due to Q1 with the force due to Q2, we can solve for the position of q. Changing the sign of Q2 changes the direction of the force on q and changes the position of q.
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The question is -
An electric point charge of Q1 = 7.43 nC is placed at the origin of the real axis. Another point charge of Q2 = 1.21 nC is placed at a position of p = 3.95 m on the real axis. At which position can a third point charge of q = -1.99 nC be placed so that the net electrostatic force on it is zero? Let the sign of Q2 be changed from positive to negative. At which position can the point charge q be placed now so that the net electrostatic force on it is zero?
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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what is the magnitude of the force exerted by the biceps fbiceps ? what is the magnitude of the force exerted by the elbow felbow ? express your answers in newtons separated by a comma.
The force exerted by the biceps and the elbow is 239.9 N and 215.89 N respectively.
When we use only your forearms to lift an object, assume that your biceps are the main muscle that lifts your arm. Suppose the weight of the forearm he is 1.50 kg. If the biceps is attached to the forearm 2.50cm from the elbow, with the forearm parallel to the floor, flex the biceps to hold a 950g ball on the end of the elbow at a distance of 36.0cm from the elbow.
Against this background,
forearm mass = 1.50 kg
forearm length = 2.50 cm
The weight of the ball is 950 g.
36.0 cm ball spacing
Forearm strength needs to be calculated. Balance Elbow Using
Torque,
Fb x Db = Wf x Df/2 + Wball x Dball
Putting Value,
Fb x .025 = 1.5 x 9.8 x .36/2 + 0
95 x 9.8 x 0.36
Fb = 239.9 N
Now elbow force,
Fb = Fl + Wf + Wb
Fl = Fb - Wf - Wb
Putting value,
Fl = 239 .9 - (1.5 x 9.8 ) - (0.95×9.8)
Fl = 215.89 N.
Therefore the force on the elbow is 215.89 N.
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Please help me by 8:30 thank you!!
The statement which correctly describes the all of these given blood cell types is option C. They perform functions that air in maintaining homeostasis.
What is homeostasis ?Any self-regulating mechanism called homeostasis helps biological systems to maintain stability while responding to environmental factors that are best for survival. If homeostasis is achieved, life goes on; if it is not, catastrophe or death result.
The stability obtained is actually a dynamic equilibrium, where circumstances are mostly uniform yet change is constant. All the bodily systems must be in a condition of equilibrium for the body to live and work properly.
When the body is in homeostasis, its levels of acid, blood pressure, blood sugar, electrolytes, energy, hormones, oxygen, proteins, and temperature are maintained at a normal level by being continually adjusted in response to changes both inside and outside the body. Hence, option C is correct.
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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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Calculate the height gained by a 2kg mass has 100J of gravitational energy is transferred to it. (g=10N/kg)
Answer:
The mass has gained a height of 5 meters.
Explanation:
To calculate the height gained by a 2kg mass when 100J of gravitational energy is transferred to it, we can use the equation:Height (h) = Gravitational Potential Energy (GPE) / Weight (w)where GPE = mgh (mass x acceleration due to gravity x height)Therefore,h = (100 J) / (2 kg x 10 N/kg)h = 5 metersThe mass has gained a height of 5 meters.
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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2: A community is concerned about a plan to bring train service to their downtown from the
town's outskirts. The current sound intensity level, even though the rail yard is blocks away, is
70 dB downtown. The mayor assures the public that there will be a difference of only 30 dB in
sound in the downtown area. Should the townspeople be concerned?
Despite being several streets away from the rail yard, the current downtown noise level is 70 dB. The people is given assurances by the mayor that they will see a difference.
What is the sound's amplitude?The power carried via sound per unit area inside a perpendicular direction to the that region is known as sound intensity or acoustic intensity. A watt every square meter (W/m2) is indeed the SI unit for intensity, which also covers sound intensity.
How do you determine the amount of sound intensity?The following equation can be used to calculate sound intensity: I=Δp22ρvw. p stands for pressure change or amplitude. is the density of the substance through which the sound is moving, and vw is the sound's measured speed. The more intense the acoustic waves oscillation, the bigger.
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CAR A is travelling at 27 meters/second and is following closely behind CARB at a distance of 9 meters. The driver of CAR A
has a reaction time of 0. 5 seconds (the time it takes between seeing the brake lights of CAR B flash and the driver of CARA
hitting the brake).
How far will his car travel during the reaction time?
Will the driver of CAR A hit the driver of CAR B during the time it takes the driver of CAR A to react?
How do you know? Explain your evidence, reasoning, and any calculations you may have performed.
The car A will hit the car B during the reaction time of 0.5 seconds, and the distance the car will travel during the reaction time is 13.5 meters.
Reaction time is the time taken by the driver between seeing the scenario in front of his/her eye and the instant of applying the break. It is derived by the PIEV theory. The PIEV theory includes the time durations which drivers see, recognize, analyze and react to apply the brake for avoiding objects on the roads. The PIEV time on highway design engineering is taken as 2.5 seconds.
Given the speed of the car A is 27 m/s
Reaction time = 0.5 sec
Distance travelled, d = 27 × 0.5 = 13.5 meters
As the distance travelled by the car A is more than the distance between car A and car B, so the car will surely hit the car B.
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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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Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant​ criteria?
No, it doesn't seem like the distribution is normal. A data set must (when graphed) follow a bell-shaped, symmetrical curve that is centered around the mean in order to be regarded as having a normal distribution.
The best way to determine whether a frequency distribution looks to have a normal distribution is to look at a histogram. Plot a histogram and study the bar shapes. The distribution is generally regularly distributed if the bars have the shape of a bell or a hill, as in the figure below. A theoretical continuous, symmetrical bell-shaped distribution function represents a normal frequency distribution. The bell curve's mean, mode, and median are all the same, and both of its tails are indefinitely long.
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complete question: Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria. Temperature (degreesF) 35 - 39, 40 - 44, 45 - 49, 50 - 54, 55 - 59, 60 - 64, 65 - 9 frequency 3, 0, 6, 12, 8, 6, 1.
(a) No, the distribution does not appear to be normal.
(b) Yes, all the requirements are met.
(c) No, the frequencies do not decrease from the maximum frequency to a low frequency.
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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a teacher sends her students on a treasure hunt. she gives the following instructions: 1. walk 300 m north 2. walk 400 m northwest 3. walk 700 m east-southeast and the treasure is buried there. as all the other students walk off following the instructions, joe physics student quickly adds the displacements and walks in a straight line to find the treasure. how far and in what direction does joe need to walk?
The directions she gives are as follows: 1. Move 400 meters to the northwest. 3. The wealth is hidden there, 700 meters to the east-southeast.
What is a displacement example?Change inside an object's position in relation to a reference frame is known as displacement. For instance, a billiards ball moves of one spot to another when one player strikes it. It is alleged to have moved. A vector quantity with both size and direction is displacement.
What is another name for displacement?The spacing between two specified points is represented by the one-dimensional quantity of displacement (symbolized as d or s), commonly known as length or distance. The meter serves as the standard displacement unit in the International Unit System (SI) (m).
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Two balls of unequal mass traveling at different speeds collide head-on and rebound in opposite
directions.
1) How does the force that ball A exerts on ball B compare to the force that ball B exerts on ball A?
2) How do the impulses received by both balls compare?
3) How do the sums of the momenta of the balls before and after the collision compare?
Can someone please answers these for me i need help.
Answer: 3
Explanation: i think
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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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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50) at the taking of a direct free kick, the ball accidentally bounces off the referee and enters the goal. what decision should the referee make?
A dropped ball is given if the ball hits the referee or another match official and goes into the goal, team possession changes, or a potential attack or a promising offensive begins.
The note of the following additional modifications to the dropped ball procedure The ball will be dropped for the goalie if play is stopped inside the penalty area. If the game is stopped outside of the penalty area, one player from the team that last touched the ball at the last touch will receive the ball. All other players from both teams must always be at least 4 metres or 4.5 yards away.
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jason drives due west with a speed of 35.0 mi/hr for 30.0 min, continues in the same direction with a speed if 60.0 mi/h for 2.00 h, and then drives still farther west at 25.0 mi/h for 10 min. what is jason's average velocity for the entire trip? (units of mi/h)\
The average velocity is 47.96 mi/h with which Jason can drive
on average.
Well, there are many ways to calculate the average velocity, but the most complete one would be the following.
With the equations of Uniform Rectelinear Movement we can obtain the distance Jason has driven. We will use the same equation for each step.
where x is the position, is the initial position (which we can pick as zero to simplify), v is the velocity, t is time and is the initial time (also picked as zero). In order to get the right answer we must use the same units, so we will change the minutes to hours, where 30 minutes are half an hour and 12 minutes are 0.2 hours
So, the distance will be Now that we have the partial distances, we use the formula for average velocity which is where is the final position (the sum of the distances) and is the total time Jason took.
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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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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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