A block of mass m approaches the foot of a hill with a speed of vo. It heads up the frictionless hill of height h and reaches the top. The top is rough with coefficient of kinetic friction μµ over a distance d. After the rough patch, there is a spring of spring constant k. Ignore air resistance. a) Assume that the block does not make it through the rough patch. Determine the length L that it travels through the rough patch before coming to rest. b) For the situation in (a), what is the work done by non-conservative forces? c) Now assume that the block does make it through the rough patch. Determine the maximum compression of the spring.

A block of mass m approaches the foot of a hill with a speed of vo. It heads up the frictionless hill of height h and reaches the top. The top is rough with coefficient of kinetic friction μµ over a distance d. After the rough patch, there is a spring of spring constant k. Ignore air resistance. a) Assume that the block does not make it through the rough patch. Determine the length L that it travels through the rough patch before coming to rest. b) For the situation in (a), what is the work done by non-conservative forces? c) Now assume that the block does make it through the rough patch. Determine the maximum compression of the spring.

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Description: 2. A block of mass m approaches the foot of a hill with a speed of vo. It heads up thefrictionless hill of height h and reaches the top. The top is rough with coefficient ofkinetic friction μk over a distance d. After the rough patch, there is a spr

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

2. A block of mass m approaches the foot of a hill with a speed of vo. It heads up the
frictionless hill of height h and reaches the top. The top is rough with coefficient of
kinetic friction μk over a distance d. After the rough patch, there is a spring of spring
constant k. Ignore air resistance.
a) Assume that the block does not make it through the rough patch. Determine the
length L that it travels through the rough patch before coming to rest.
b)
For the situation in (a), what is the work done by non-conservative forces?
c) Now assume that the block does make it through the rough patch. Determine the
maximum compression of the spring.

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