A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 2.33 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.43 m. What will the block s speed be when it reaches x = 0? 4.99 m/s 2.50 m/s 11.28 m/s 7.05 m/s

A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 2.33 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.43 m. What will the block s speed be when it reaches x = 0? 4.99 m/s 2.50 m/s 11.28 m/s 7.05 m/s

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Description: A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x 0. The value of d is 2.33 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x

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.
previous problem: A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 3.85 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -1.99 m. What will the block s speed be when it reaches x = 0? New problem Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? -3.72 m 3.72 m 2.92 m -2.92 m
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