The goal of a worker is to slide a m=20-kg crate up a L=2.5 m-long inclined at θ=25°. The worker was confident that he can do this by giving it an initial speed of v1=4.5 m/s at the bottom and letting it go. However, the crate slides only d1 =1.7 m up the ramp, stops, and slides back down µk = 0.42 d. What is the work done by the friction force while mass is sliding down the inclined plane? e. What is the work done by the gravitation force while the mass is sliding down the inclined plane? f. What is the kinetic energy of the mass when it just reaches the bottom of the inclined plane?

The goal of a worker is to slide a m=20-kg crate up a L=2.5 m-long inclined at θ=25°. The worker was confident that he can do this by giving it an initial speed of v1=4.5 m/s at the bottom and letting it go. However, the crate slides only d1 =1.7 m up the ramp, stops, and slides back down µk = 0.42 d. What is the work done by the friction force while mass is sliding down the inclined plane? e. What is the work done by the gravitation force while the mass is sliding down the inclined plane? f. What is the kinetic energy of the mass when it just reaches the bottom of the inclined plane?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 54P: A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using...

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A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position x along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively. (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data. (b) Determine the acceleration of the cart from the slope of this graph. (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 4.3.
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