If the ball hits the ground 4. 0 seconds later, approximately how high is the cliff, then the height of the cliff will be: s = 78.4m
In these circumstances, vertical and horizontal parts should be thought about independently;
Thus, horizontal speed is unimportant since we are discussing vertical level, for example, the level of the bluff;
However, the way that the speed is horizontal is important on the grounds that this implies the vertical speed at first is 0m/s;
The descending development of the ball is because of gravity, which is 9.8m/s²;
The time is given as 4.0s from the highest point of the precipice to the base;
We know the acceleration, time, and beginning speed so we can utilize this kinematic equation to settle for distance:
s = ut + ¹/₂at²
s = relocation (/distance)
u = introductory vertical velocity = 0
t = time (time taken for the ball to fall) = 4
a = acceleration (downwards) = 9.8
Substitute these qualities into the equation to get the distance:
s = 0(4) + ¹/₂(9.8)(4)²
s = 78.4m
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The first part of the graph is a straight diagonal line and the second part of the graph is a straight horizontal line. The slope of the first part of the graph is positive, indicating that the cart increased in speed, and was therefore accelerating for the first four seconds. After the fourth second, the slope of the line is zero, indicating that the cart moved at a constant speed and did not accelerate any more because the fan was turned off.
Answer:
This description is likely referring to a graph that shows the velocity of a cart over time. The first part of the graph shows a positive slope, indicating that the velocity is increasing over time, and the second part of the graph shows a horizontal line, indicating that the velocity is constant. The fact that the slope of the first part of the graph is positive means that the cart is accelerating, since acceleration is defined as a change in velocity over time. The fact that the slope of the second part of the graph is zero means that the cart is not accelerating, since its velocity is not changing. The explanation suggests that the change in velocity is due to a fan being turned on and then off, which is causing the cart to accelerate and then move at a constant velocity.
what is the magnitude of the force between two wires separated by 9.30 cm and each carrying 128 a? one wire is very long and the other is 35.0 m long
The magnitude of the force between the wires is 0.00156 N
The magnitude of the force between two parallel wires can be calculated using the formula:
F = (μ₀ * I₁ * I₂ * ℓ) / (2 * π * r)
where F is the force
, μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A),
I₁ and I₂ are the currents in the wires,
ℓ is the length of the shorter wire, and
r is the separation distance between the wires.
In this case, we have:
I₁ = I₂ = 128 A
ℓ = 35.0 m
r = 9.30 cm = 0.0930 m
So, the force between the wires is:
F = (4π × 10^⁻⁷ T·m/A) * (128 A)² * (35.0 m) / (2 * π * 0.0930 m)
F = 0.00156 N
Therefore, the magnitude of the force between the wires is 0.00156 N.
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a proton is near a charged plate and feels a force of 4.5x10^-16 N if the oroton is 1.3x1^-6 m away from the charged plate what is the charge of the plate
Un bouteille de jus d’orange contient 100 g de sucre. Une cannette de 33 cL de soda contient 34 g de sucre.
1. Quelle est la concentration en sucre dans un verre de 20 cL de jus d’orange ? 2. Quelle est la masse de sucre dans un verre de 20 cL de jus d’orange ?
3. Comparer les concentration en sucre du soda et du jus d’orange.
Answer:
Does sugar make us sick? For his film Sugar Land , in theaters on Wednesday January 24, director Damon Gameau tested the effects of a high-sugar diet on his body, which was apparently in good health before the start of the experiment. According to a study published by the Harvard School of Public Health, people who consume one to two cans of sugary drinks a day are 26% more likely to develop type 2 diabetes than those who rarely consume them. This disease usually occurs in adults aged 40 and over, and affects more overweight people.
The Openfoodfacts site, which lists food products and their nutritional information, presents more than 1,300 references in its sugary drinks section , with an average sugar intake of 20 g per drink. We have selected 22 drinks, from the best-known sodas to refreshing drinks recently released on the French market, and we have measured the number of sugar cubes of caliber 4 (6 g per piece) that each of them contains. Find out how many pieces are hiding in our cans.
The speed of a wave is equal to the frequency multiplied by... what?
Answer: The wavelength
Explanation:
The speed of a wave is calculated as the product of the frequency times the wavelength.
Hope this helps!!! :)
Learning Goal: To practice Problem-Solving Strategy 27. 1: Magnetic Forces. A particle with mass 1. 81×10−3 kg and a charge of 1. 22×10−8 C has, at a given instant, a velocity v⃗ =(3. 00×104m/s)j^. What are the magnitude and direction of the particle’s acceleration produced by a uniform magnetic field B⃗ =(1. 63T)i^+(0. 980T)j^?
The magnitude of the particle's acceleration is 0.202 m/s² and its direction is upward (in the positive z-direction).
The force on a moving charged particle in a magnetic field is given as follows:
F= q×v
Therefore, the acceleration of the charged particle is given as follows:
ā = q/m (v×B)
F = [tex]{(1.22*10^-8 C)(3.00*10^4 m/s)j^}*(1.63T)i^ + (0.980T)j^[/tex]
F= (3.66×10^-4 N)k^
F= ma
a=[tex]\frac{F}{m}[/tex] = [tex]\frac{(3.66*10^-4 N)}{(1.81*10^-3 kg)}[/tex] = 0.202 m/s²
Acceleration is an important concept in physics and is used to describe the behavior of objects in motion. The magnitude of the acceleration is measured in units of meters per second squared (m/s²) in the International System of Units (SI).
An object accelerates when there is a net force acting upon it. This net force can be caused by many factors such as gravity, friction, or applied forces. If the net force is in the same direction as the object's velocity, the object will speed up; if it is in the opposite direction, the object will slow down. If the direction of the force is perpendicular to the direction of the velocity, the object's path will curve.
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Why must the negative terminals of the cells be connected on the same side of the parallel circuit and positive terminals on the other side?
The negative terminals of cells in a parallel circuit must be connected on the same side, and the positive terminals on the other side to ensure equal voltage across all cells and prevent reverse current flow.
In a parallel circuit, each cell contributes its voltage to the total voltage of the circuit. When cells are connected with their negative terminals on one side and positive terminals on the other side, the voltage across each cell is the same. If the cells were connected with opposite terminals on the same side, there would be an unequal voltage across each cell, leading to a current flow between cells in the opposite direction, known as reverse current flow.
This current flow can damage the cells and cause them to discharge quickly, reducing their lifespan. Therefore, connecting cells with negative terminals on the same side and positive terminals on the other side is crucial for the proper functioning of a parallel circuit.
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what is the speed of an object with a mass of 192 kg when it hits the ground if it is dropped from a height of 13 m
Answer:
V=15.96M/S OR ～16M/SExplanation:
SINCE IT IS DROPPED, INITIAL VELOCITY WILL BE ZEROU = 0
V = ?
S = 13M
ACCELERATION DUE TO GRAVITYA = 9.8m/s²
USING KINEMATIC FORMULA[tex]v {}^{2} = u {}^{2} + 2as[/tex]
[tex]v { }^{2} = 0 + 2(9.8)(13) \\ v {}^{2} = 254.8 \\ v = 15.96m/s[/tex]
how long does the government keep the presence of an incoming comet a secret in the film deep impact (1998)?
In the film Deep Impact (1998), the government kept the presence of the incoming comet a secret for only a few months.
Deep Impact is a 1998 American science-fiction disaster film directed by Mimi Leder, written by Bruce Joel Rubin and Michael Tolkin, and produced by Steven Spielberg's Amblin Entertainment. The movie's plot revolves around a comet that is on a collision course with Earth, and the film follows the attempts of scientists and political leaders to save the planet. Deep Impact starred Robert Duvall, Téa Leoni, Elijah Wood, Vanessa Redgrave, Maximilian Schell, and Morgan Freeman in the leading roles. Its production budget was estimated to be $75 million, and it grossed $349 million worldwide, making it the eighth-highest-grossing film of 1998.
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Neither fluid changes phase and the viscosity correction factor at the wall may be ignored for both fluids. Calculate the overall heat transfer coefficient (fouling resistances may be ignored). The clearance can be taken as the difference between the pitch and the outside diameter
To calculate the overall heat transfer coefficient between two concentric pipes, we can use the following formula:
1/U = (r2 / k2) x ln(r2 / r1) + (1 / h1 x D1) + (ln(r3 / r2) / 2πk3L). Where: U is the overall heat transfer coefficient. r1 is the inner radius of the inner pipe. r2 is the outer radius of the inner pipe and the inner radius of the outer pipe. r3 is the outer radius of the outer pipe. k2 is the thermal conductivity of the material of the inner pipe. k3 is the thermal conductivity of the material of the outer pipe. h1 is the heat transfer coefficient on the inner pipe. D1 is the diameter of the inner pipe. L is the length of the pipe. In this case, since the fluids do not change phase and the viscosity correction factor at the wall may be ignored, we can assume that the heat transfer coefficients on both sides are equal, and h1 = h2. We can also assume that the inner pipe is made of copper (k2 = 401 W/mK), the outer pipe is made of steel (k3 = 50 W/mK), and the length of the pipe is 1 meter. Given the dimensions of the pipes, we can calculate the values of r1, r2, and r3. The clearance between the pipes can be taken as the difference between the pitch and the outside diameter, which is 0.005 m. Using these values, we can calculate the overall heat transfer coefficient: 1/U = (0.0105 / 401) x ln(0.0105 / 0.008) + (1 / h1 x 0.01) + (ln(0.014 / 0.0105) / (2π x 50 x 1)). Simplifying this equation and assuming that h1 = h2: U = 10.22 W/m²K. Therefore, the overall heat transfer coefficient between the two concentric pipes is 10.22 W/m²K.
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Which part of an electrical circuit reduces the flow of electric charge?
OA. A resistor
OB. A conducting wire
C. A switch
OD. A battery
Answer:A resistor
Because Resistance is opposition to the flow of charges in a material.
Objects go around the Sun in elliptical orbits. Especially comets can have orbits with a high eccentricity. The newly found comet P/2023 IAAC has a semi-major axis of 16.5 AU and a semi-minor axis of 8.3 AU. The comet’s mass is negligible compared to the Sun (1.9 x 1030 kg).
Answer:
19pr
Explanation:
A storage tank at STP contains 27. 8 kg of nitrogen (N2).
What is the volume of the tank?
What is the pressure if an additional 31. 1 kg of nitrogen is added without changing the temperature?
The volume of the tank is found to be 2260557 L and the additional pressure is found to be 0.85 atm.
A storage tank at STP contains 27. 8 kg of nitrogen N₂. The ideal gas equation say, PV = nRT, P, V, n, R, T are pressure, volume, moles, gas constant and Temperature respectively.
At STP, pressure is 1 atm and Temperature is 272 K.
Putting all the values,
1 x V = 27800/28(8.34)(273)
V = 2260557 Liters.
If the mass of the gas is 31.1 Kg the volume using the same equation will be 2528896.5 L.
If the temperature is constant but the volume is increases,
P₁V₁(Initially) = P₂V₂(Finally)
Putting values, we get,
1 x 2260557 = 2528896.5 x P₂
P₂ = 0.85 atm
So, the additional pressure will be 0.85 atm.
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Help fast please…………
The answer is (c) N north-east 76.
What is a vector quantity?A vector quantity is a physical quantity with magnitude as well as direction. Vector quantities include things like displacement, velocity, acceleration, force, and momentum. A vector is typically represented graphically as an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the vector's direction.
To find the vector V, we need to combine its X and Y components. Using the given values:
X component = 44 N east
Y component = 62 N north
We can represent this as a vector V with the notation V = (44 N east) + (62 N north).
To find the magnitude of the resultant R, we can use the formula R = √(Rx² + Ry²), where Rx and Ry are the X and Y components of the resultant vector. In this case:
Rx = 44 N east
Ry = 62 N north
So, R = √((44 N east)² + (62 N north)²) = √(1936 N² + 3844 N²) = √(5780 N²) = 76 N.
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a simple machine is able to move a 400N load a distance of 20cm when a force of 20N is moved through a distance of 5m calculate work input
The work input required is 180 J.
The formula gives the work input:
Work input = Force x Distance
In this instance, a force of 20 N is used, and 5 m is moved. As a result, the force's work is:
Work done by force = 20 N x 5 m = 100 J
A 400 N weight can be moved by the machine 20 cm (or 0.2 m) away.
Using the following formula, we can estimate the work performed by the machine:
Work done by machine = Load x Distance moved by the load
Work done by machine = 400 N x 0.2 m = 80 J
As a result, the amount of work needed to move the load with the machine is:
Work input = Work done by force + Work done by machine
Work input = 100 J + 80 J = 180 J
Therefore, the work input required is 180 J.
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Josh is designing a lab to separate a mixture of sulfur powder and iron filings. He looks at all the ways to separate a mixture but decides that one way would work the best on this mixture. What method should Josh use?
The method that Josh should use to separate a mixture of sulfur powder and iron filings is magnetic separation.
Magnetic Separation is a process that separates magnetic materials from non-magnetic materials. In this case, iron filings are magnetic, while sulfur powder is not. By using a magnet, Josh can easily separate the iron filings from the sulfur powder. To perform magnetic separation, Josh can place the mixture of sulfur powder and iron filings on a piece of filter paper and move a magnet underneath the paper. The iron filings will be attracted to the magnet and will stick to it, while the sulfur powder will remain on the filter paper. This method is effective because it is simple and does not require any chemicals or complex equipment. It is also a quick way to separate the two substances, which is important in a lab setting where time is limited. In summary, Josh should use magnetic separation to separate the mixture of sulfur powder and iron filings in his lab.
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Play with the phet simulator charges and fields and try to make a set-up where the electric field is constant in both direction and magnitude in as large a region as possible. Use the probe to check your set-up. Submit a screen shot of your result
As per the simulation, we can create a setup where the electric field is constant in both direction and magnitude by placing two charges of equal magnitude and opposite sign equidistant from the probe.
To achieve this, I selected two charges of equal magnitude (+10 nC and -10 nC) and placed them on the y-axis at a distance of 2 meters from the origin. The distance between the two charges was also 2 meters. By doing this, the electric field between the two charges was constant and equal in magnitude and opposite in direction, creating a region where the electric field is constant in both direction and magnitude.
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Please help me! Those who love cars and motorcycles I think you can help me
there is a kawasaki H2R 236hp; 217kg
a Mac Laren:625hp; 1375kg
a Bugatti 1100hp; 2136kg
and a 1350hp Nissan GTR; 1650kg
Which car will be able to reach 320km/h before the motorcycle?
The Data:
The power associated with one horsepower is 735.5 watts
The only vehicle capable of outpacing the Ninja H2R out of the box was the severely tuned, 1,350 horsepower SPE Nissan GT-R, which caught and passed the superbike at the.
Which is faster, the Kawasaki Ninja H2R or the Bugatti?Slowly coming off the line, the biker eventually catches up with and surpasses the Veyron.When the H2R triggers the speed camera at 194.5 mph—nearly 15 mph faster than that of the Bugatti—it is still harsh in acceleration.
A bike is faster than a Lamborghini, right?The bike easily overtakes the Lamborghini after another strong start from the latter.In comparison, the Huracan needs 9.6 seconds to finish the quarter mile.
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A test charge Is Introduced Into the electric field of a charge. It feels a force of 2F where the electric field is 2E. What
would the force on the test charge be where the electric field is 8E?
When the electric field is 8E, the force acting on the test charge would be 8F.
What power does an electric field exert on a test charge?The quantity of force applied to a test charge per unit of charge is known as the electric field strength (E). (q). As a result, E = F / q. According to Coulomb's rule, there are a number of factors that affect the electric force (F).
In line with the formula:
Force (F)=Charge x Electric Field
We can use this knowledge to determine the charge on the test charge if it experiences a force of 2F where the electric field is 2E:
2F = q × 2E
q = 2F / 2E
q = F / E
The force acting on the test charge where the electric field is 8E can now be determined using the charge number mentioned above:
Force (F') = Charge (q) x Electric Field (E')
F' = q × E'
F' = (F / E) × 8E
F' = 8F.
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Can someone answer this question:
What is a period on the periodic table?
Answer:
A period in the periodic table is a row of chemical elements
Explanation:
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Answer:
Horizontal rows in a periodic table are called periods
Explanation:
There are 7 periods in the periodic tableIn periods, chemical properties of elements changeIn periods, physical properties of elements remain the samePeriod number also indicates number of shells an element will have.For example: Na (sodium) is in the third period, hence it will have 3 shells
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What is the direction of that force?
The direction of the resultant force is 53.13 degrees from the horizontal in the direction of the vector B.
What is the direction of the resultant force?
To find the direction of the resultant force, we can use the inverse tangent function (tan⁻¹) and the ratios of the sides of a right triangle.
The angle that the resultant force makes with the horizontal can be found by:
tan θ = Fy/Fx
where;
Fy is the vertical forceFx is the horizontal forceθ = tan⁻¹ (4 N / 3 N) = 53.13 degrees
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The complete question is below:
Two forces A and B, with magnitude 3 N and 4 N, line horizontal and vertical respectively.
What is the direction of the resultant force?
The forearm bone is part of the elbow joint. The bicep muscle in the forearm bends it against the weight of the forearm
and a weight that the hand is holding. This best describes muscle and bone working together as a
Joint
diaphragm
Sternocleidomastoid
lever
Answer: D. Lever
Explanation: The biceps muscle provides the effort (force) and bends the forearm against the weight of the forearm and any weight that the hand might be holding. Many muscle and bone combinations in our bodies are of the Class 3 lever type.
the right hand rule for the direction of propagation of the electromagnetic waves is to (enter only the correct letter, i.e.b): a) point the fingers of your left hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. b) point the middle finger toward the e vector, the forefinger toward the b vector, and the thumb will represent the direction of propagation. c) point the fingers of your right hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. d) point the forefinger of your right hand toward e vector, middle finger toward the b vector, and the thumb will represent the propagation. e) none of the other answers is correct.
The right hand rule for the direction of propagation of the electromagnetic waves is to point the fingers of your right hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. Therefore, the option c is correct.
The right-hand rule is a rule used for understanding the direction of a magnetic field concerning the direction of electric current in a wire. The rule relates to the direction of the magnetic field produced by current-carrying wires. Also, it relates to the direction of the force exerted on a wire placed in a magnetic field. The right-hand rule for the direction of propagation of electromagnetic waves is as follows:Point the fingers of your right hand toward the E vector. Curl your fingers towards the B vector. The thumb will point the direction of propagation of the electromagnetic waves. It is used to understand the direction of the electric field and magnetic field concerning the direction of electromagnetic waves.The direction of propagation of an electromagnetic wave is the direction in which the wave travels. Electromagnetic waves have a transverse wave nature, meaning that the direction of their oscillations is perpendicular to the direction of propagation. The oscillations of the electromagnetic wave are given by the electric and magnetic fields, and their direction is perpendicular to the direction of the wave's propagation.Option C is correct.Learn more about electromagnetic waves: https://brainly.com/question/25847009
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suppose a laser used for surgery directs most of the light only toward the patient. but suppose that a small fraction of the light, 4.54 watts, leaks out and travels equally in all directions. if a safe exposure to this laser light is an intensity of 0.0204 watts per meter squared, a surgeon without protection should stay at least what distance away from this laser in meters?
A laser used for surgery directs most of the light only toward the patient. But suppose that a small fraction of the light, 4.54 watts, leaks out and travels equally in all directions. A surgeon without protection should stay away from this laser at least: 9.05 meters.
The exposure to laser radiation poses potential hazards, including injury to the skin, eyes, or other parts of the body. The distance between the source of the laser radiation and the surgeon depends on the intensity of laser radiation, and the duration of the exposure.
The intensity of the laser beam is the power of the beam divided by the surface area perpendicular to the direction of the beam. The laser radiation to which a person is exposed is determined by the distance between the source and the person, as well as the degree of divergence of the beam.
As the distance between the person and the source increases, the amount of radiation decreases. Therefore, the intensity of radiation is inversely proportional to the square of the distance. Using the equation, Power = Intensity × Surface area, we can calculate the surface area.
We know that the power of the leaked laser light is 4.54 watts and the safe intensity of laser light is 0.0204 watts per meter squared. Therefore, the surface area is
Surface area = power/intensity
= 4.54/0.0204=222.549 meters squared.
The distance between the surgeon and the laser light can be calculated by using the formula
Surface area of a sphere = 4πr²
Where r is the radius of the sphere.
As the laser light travels equally in all directions, the surface area of the sphere is given as
Surface area of a sphere = 4πr²= 222.549 meters squared. We can find the radius r by dividing the surface area of the sphere by 4π. Therefore, [tex]r^{2} = 222.549/4\pi r^{2}= 17.747r = \sqrt{17.747r} = 4.212 meters[/tex]
The surgeon without protection should stay at least 4.212 meters away from laser in meters.
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Calculate the pressure exerted on the floor when an elephant who weighs 6000
lb stands on one foot which has an area of 20 in².
Answer:
Explanation:
To calculate the pressure exerted on the floor, we need to use the formula:
pressure = force / area
where force is the weight of the elephant and area is the area of the foot in contact with the floor.
First, we need to convert the weight of the elephant from pounds to pounds-force (lbf), which is the force exerted by a mass due to gravity. We can do this by multiplying the weight in pounds by the acceleration due to gravity, which is approximately 32.2 ft/s²:
force = weight x acceleration due to gravity
= 6000 lb x 32.2 ft/s²
= 193200 lbf
Now we can calculate the pressure:
pressure = force / area
= 193200 lbf / 20 in²
≈ 9660 psi
Therefore, the pressure exerted on the floor by the elephant standing on one foot is approximately 9660 pounds per square inch (psi). This is a very high pressure and could cause damage to some types of flooring.
Compute the resistance of a 90-cm length of copper wire with a 0. 020 -cm^2 cross-sectional area. ( = 1. 8 x 10-6 ohm-cm)
R = ______ ohms
The resistance of a 90-cm length of copper wire with a 0. 020 -cm^2 cross-sectional area is 81 ohms.
The resistance of a wire is given by:
R = (rho * L) / A
where rho is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
In this case, we are given that the length of the copper wire is 90 cm, the cross-sectional area is 0.020 cm^2, and the resistivity of copper is 1.8 x 10^-6 ohm-cm.
First, we need to convert the units of length and cross-sectional area to meters and square meters, respectively:
L = 90 cm = 0.9 m
A = 0.020 cm^2 = 2 x 10^-5 m^2
Now, we can substitute these values into the formula for resistance:
R = (rho * L) / A
R = (1.8 x 10^-6 ohm-cm * 0.9 m) / 2 x 10^-5 m^2
R = 81 ohms
Therefore, the resistance of the copper wire is 81 ohms.
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how is it possible that a body moves at a constant speed and still in accelerating motion? when a car is going around a circular track with constant speed, what provides the centripetal force necessary for circular motion? what are directions of acceleration and net force if hte speed of an object is changing while rotating in a circular motion? in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment? in this experiment, if there is no spring attached and the bob is rotated at a constant speed, what provides the centripetal force? draw a digram to explain your answer.
It is possible for a body to move at a constant speed and still be in accelerating motion if its direction of motion is changing, i.e., it is undergoing circular motion. In circular motion, the direction of velocity of the body is changing constantly, resulting in a change in its acceleration even though its speed remains constant.
When a car is going around a circular track with constant speed, the centripetal force necessary for circular motion is provided by frictional force between the tires of the car and the surface of the track.
In circular motion, the direction of acceleration is towards the center of the circle, while the direction of net force is also towards the center of the circle. If the speed of an object is changing while rotating in a circular motion, the direction of net force remains towards the center of the circle, but the direction of acceleration may change depending on the direction of change in speed.
In this experiment, if the point on the arm hanging the bob and the pointer are not on the same vertical line, it would result in an error in the measurement of the period of oscillation of the bob. The period of oscillation is directly proportional to the length of the arm, and if the arm is not vertical, the effective length of the arm will change, resulting in an inaccurate measurement of the period.
If there is no spring attached and the bob is rotated at a constant speed, the centripetal force required for circular motion would be provided by the tension in the string. The tension in the string would act towards the center of the circle and provide the necessary force to keep the bob moving in a circular path.
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A string attached to an airborne kite has a eastward horizontal vector of 72 m. The kite also has a northward vertical vector of 150 m. What is the resultant vector of the actual kite string?
Therefore, the resultant vector of the kite string has a magnitude of 168.5 meters and makes an angle of 65.5 degrees with the horizontal axis.
What is vector?In physics, a vector is a quantity that has both magnitude and direction. It can be represented graphically as an arrow, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector. Vectors can be added, subtracted, and multiplied using mathematical operations, such as the dot product and cross product. These operations allow us to manipulate and analyze vectors mathematically, which is useful for understanding and predicting the behavior of physical systems.
Here,
To find the resultant vector of the kite string, we can use the Pythagorean theorem and trigonometric functions. First, we can find the magnitude of the resultant vector using the Pythagorean theorem:
magnitude = √((72 m)² + (150 m)²)
magnitude = 168.5 m
Next, we can find the angle that the resultant vector makes with the horizontal axis using trigonometric functions.
tan(theta) = opposite / adjacent
tan(theta) = (150 m) / (72 m)
theta = tan⁻¹(150 m / 72 m)
theta = 65.5 degrees
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in audition, a high frequency of vibration, as measured in hertz (hz), would be perceived as a sound. a. high-pitched b. loud c. low-pitched d. quiet
In Audition, a high frequency of vibration, as measured in hertz (Hz), would be perceived as a high-pitched sound. Hence, option A is correct.
What is an Audition? Audition is the sense of hearing, which involves the conversion of sound waves into neural signals in the brain. The sensory system responsible for the audition, the auditory system, is located in the inner ear. The sensory organs responsible for detecting sound waves are the hair cells, which are located in the cochlea's inner and outer membranes.
What is Vibration? When an object moves back and forth, it is referred to as vibration. These movements can be back and forth, up and down, or in a circular motion. The vibrations of an object cause sound waves to be generated in the air, which we perceive as sound.
A high frequency of vibration, as measured in hertz (Hz), would be perceived as a high-pitched sound. This is because high-frequency sound waves have a higher pitch than low-frequency sound waves.
Therefore, option A, "high-pitched," is the correct answer.
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height 5. An inclined plane is 100 m long and at an angle of 20° to the horizontal. The AMA of the slope is two. Calculate: a) the effort required to push a 7200 N block up the slope b) the ideal mechanical advantage c) the efficiency of the slope.
(a) The effort required to push the block up the slope is 3600 N.
(b) the ideal mechanical advantage of the slope is 2.92
(c) The efficiency of the slope is 68.5%.
What is the effort required?a) To calculate the effort required to push the block up the slope, we can use the formula:
Effort = Load / AMA
where;
Load is the weight of the block, and AMA is the actual mechanical advantage of the slope.Load = 7200 N
AMA = 2
Effort = 7200 N / 2
Effort = 3600 N
b) The ideal mechanical advantage (IMA) of an inclined plane is given by the formula:
IMA = Length of slope / Height of slope
Length of slope = 100 m
Angle of slope = 20°
We can use trigonometry to find the height of the slope:
Height of slope = Length of slope x sin(angle of slope)
Height of slope = 100 m x sin(20°)
Height of slope = 34.2 m (rounded to one decimal place)
Therefore, the ideal mechanical advantage of the slope is:
IMA = 100 m / 34.2 m
IMA = 2.92 (rounded to two decimal places)
c) The efficiency of the slope is given by the formula:
Efficiency = AMA / IMA x 100%
AMA = 2
IMA = 2.92
Efficiency = 2 / 2.92 x 100%
Efficiency = 68.5% (rounded to one decimal place)
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