A 250 g block is dropped onto a relaxed vertical spring that has a spring constant of k =2.5 N/cm.The block becomes attached to the spring and compresses the spring 12 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?

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
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 3P: A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table...
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A 250 g block is dropped onto a relaxed vertical
spring that has a spring constant of k =2.5 N/cm.The block becomes attached to
the spring and compresses the spring 12 cm before
momentarily stopping. While the spring is being
compressed, what work is done on the block by
(a) the gravitational force on it and (b) the spring
force? (c) What is the speed of the block just before
it hits the spring? (Assume that friction is negligible.)
(d) If the speed at impact is doubled, what is
the maximum compression of the spring?

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