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Last time now, with d = 3.98 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall?

Last time now, with d = 3.98 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall?

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...
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Hi, this is a set of 5 questions, I've answered 4 as shown in the photos please help solve the fifth question in the second slide. 

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 2.50 m, and x and y are measured in meters as usual. Suppose the block starts Same type of track as in the previous problem, this time with d = 3.95 m. The block starts at x = 0, and is given a push to the left with an initial speed of 5.11 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? %3D %3D from rest on the track, at x = -2.43 m. What will the block s speed be when it reaches x = 0? 1 6.81 m/s 1 -2.29 m 2 4.82 m/s 2 2.29 m 1 2 3 3.86 m/s 3 1.33 m 4. 9.53 m/s 4 -1.33 m OK, same sort of track, but now with d = 3.05 m. Now suppose the blocks starts on the track at x = 3.50 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? %3D Here we go again this time, d= 2.98 m. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 1 5.32 m/s 6.28 m/s 4 2 7.65 m/s 2 4.55 m/s 3 5.41 m/s 6.50 m/s 4 5.22 m/s 4. 8.88 m/s 3 3.
Transcribed Image Text: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 2.50 m, and x and y are measured in meters as usual. Suppose the block starts Same type of track as in the previous problem, this time with d = 3.95 m. The block starts at x = 0, and is given a push to the left with an initial speed of 5.11 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? %3D %3D from rest on the track, at x = -2.43 m. What will the block s speed be when it reaches x = 0? 1 6.81 m/s 1 -2.29 m 2 4.82 m/s 2 2.29 m 1 2 3 3.86 m/s 3 1.33 m 4. 9.53 m/s 4 -1.33 m OK, same sort of track, but now with d = 3.05 m. Now suppose the blocks starts on the track at x = 3.50 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? %3D Here we go again this time, d= 2.98 m. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 1 5.32 m/s 6.28 m/s 4 2 7.65 m/s 2 4.55 m/s 3 5.41 m/s 6.50 m/s 4 5.22 m/s 4. 8.88 m/s 3 3.
Last time now, with d = 3.98 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall? 1 -1.41 m 2 -2.04 m 3 -2.42 m 4 -1.99 m
Transcribed Image Text:Last time now, with d = 3.98 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall? 1 -1.41 m 2 -2.04 m 3 -2.42 m 4 -1.99 m
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