Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 11, Problem 3Q
- (a) Prove that tan θ is equal to μk when the block slides down the incline with a constant speed. (Use symbols, not numbers.)
- (b) If θ is the maximum angle of incline just before the block moves, what is μs in terms of θ?
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Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=μkN)fk=μkN) is a=g(sinθ−μkcosθ).a=g(sinθ−μkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (μk=0).(μk=0).
Referring to the previous question about the wooden crate on the wood floor with given coefficients of friction: If we push the crate with a horizontal force of 300 N, what will be the magnitude of its acceleration in m/s2 ? [Answer with 3 significant figures]
A 50 kg crate is being pushed on a horizontal floor at constant velocity. Given that the coefficient of kinetic friction between crate and floor is μk = 0.1, what is the push force F?
Chapter 11 Solutions
Physics Laboratory Experiments
Ch. 11 - Prob. 1ASACh. 11 - What is the normal force, and why is it used...Ch. 11 - Why is it important to have the string parallel to...Ch. 11 - What is the coefficient of friction, and in what...Ch. 11 - Explain how graphs of weight versus normal force...Ch. 11 - Explain why fs sN; that is, why is fs less than...Ch. 11 - Speculate, in terms of the microscopic surface...Ch. 11 - (a) Prove that tan is equal to k when the block...Ch. 11 - Suppose that the block were made to move up the...
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- Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk = µkN ) is a = g(sinθ − µkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (µk = 0).arrow_forwardunder what conditions the tension in the string pulling horizontally on the cart equal in magnitude to the frictional force?arrow_forwardThe coefficient of static friction between block A and a horizontal floor is 0.470, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00 kg, and they are connected together by a cord. If the horizonta force F pulling on block B slowly increased, in a direction parallel to the connecting cord, until the blocks start sliding, what is the magnitude of F at the instant that they start to slide?arrow_forward
- An object of mass m falls from rest under gravity subject to an air resistance proportional to its speed. Taking the y axis as positive down, show that the differential equation of motion is m(dv/dt) = mg − kv, where k is a positive constant. Find v as a function of t, and find the limiting value of v as t tends to infinity; this limit is called the terminal speed. Can you find the terminal speed directly from the differential equation without solving it? Hint: What is dv/dt after v has reached an essentially constant value? Consider the following specific examples of this problem.(a) A person drops from an airplane with a parachute. Find a reasonable value of k.(b) In the Millikan oil drop experiment to measure the charge of an electron, tiny electrically charged drops of oil fall through air under gravity or rise under the combination of gravity and an electric field. Measurements can be made only after they have reached terminal speed. Find a formula for the time required for a drop…arrow_forwardIn Fig E4.4, consider that the trunk has mass M travels at a constant velocity along a frictionless inclined and the angles involved are θi and θs, where θs corresponds to the angle with respect to the direction of motion and θi is the angle of the inclined. What are the simplified expressions for the tension on the rope and the normal force on the trunk in terms of M, g and the angles?arrow_forwardA trained sea lion slides from rest with constant acceleration down a 3.0-m-long ramp into a pool of water. If the ramp isinclined at an angle of u = 23° above the horizontal and the coefficient of kinetic friction between the sea lion and theramp is 0.26, how much time does it take for the sea lion to make a splash in the pool?arrow_forward
- An elevator, which weighs 8 tons with its load, is descending with a speed of 900 ft/min. Ifthe load on the cables must not exceed 14 tons, what is the shortest distance in which the elevator can be stopped?arrow_forwardAn elevator cab and its load have a combined mass of 1600 kg. Find the tension in the supporting cable when the cab, originally moving downward at 12 m/s, is brought to rest with constant acceleration in a distance of 42 m.arrow_forwardA block is at rest on an inclined plane whose elevation can be varied. The coefficient of static friction is μsμs= 0.36, and the coefficient of kinetic friction is μkμk = 0.19. The angle of elevation θθ is increased slowly from the horizontal. At what value of θθ does the block begin to slide (in degrees)? What is the acceleration of the block?arrow_forward
- Find the acceleration (magnitude and direction) of mass m, and the tension in the string. The pulley is light and smooth. The string is light, flexible and non-stretchable. M = 500 gram, m = 400 gram, theta= 30 degrees. The inclined surface is smooth. No friction.arrow_forwardIf half of the weight of a a small 1.80 ✕ 103 kg utility truck is supported by its two drive wheels, what is the maximum acceleration (in m/s2) it can achieve on wet concrete? (For rubber on wet concrete, assume the coefficient of kinetic friction is 0.4 and the coefficient of static friction is 0.6. Enter the magnitude.)arrow_forwardA box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?arrow_forward
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