A box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 204 N/m. (a) How far, d, in meters, will the second spring compress when the box runs into it? (b) How fast, v in meters per second, will the box be moving when it strikes the second spring? (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe| that the second spring only compresses a distance dy/2. How much energy, in joules, was lost to friction? m

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
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 5P: A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m...
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A box of mass m = 0.14 kg is set against a spring with a spring constant of kį =
670 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a
frictionless surface, is another spring with a spring constant of k2 = 204 N/m.
(a) How far, d, in meters, will the second spring compress when the box runs into it?
(b) How fast, v in meters per second, will the box be moving when it strikes the second spring?
(c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe|
that the second spring only compresses a distance dy/2. How much energy, in joules, was lost to friction?
m
Transcribed Image Text:A box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 204 N/m. (a) How far, d, in meters, will the second spring compress when the box runs into it? (b) How fast, v in meters per second, will the box be moving when it strikes the second spring? (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe| that the second spring only compresses a distance dy/2. How much energy, in joules, was lost to friction? m
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