A box of mass m is pressed against (but is not attached to) an ideal spring of force constan and negligible mass, compressing the spring a distance x. After it is released, the box slide up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment (compressing the spring by the same amount) with a box of mass 2m: k m 0000000 Smooth Smooth O both boxes will have the same speed just as they move free of the spring. both boxes will reach the same maximum height on the incline. the lighter box will go twice as high up the incline as the heavier box. just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box. just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box.

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 79P: A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring...
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A box of mass m is pressed against (but is not attached to) an ideal spring of force constant
and negligible mass, compressing the spring a distance x. After it is released, the box slides
up a frictionless incline as shown in the figure and eventually stops. If we repeat this
experiment (compressing the spring by the same amount) with a box of mass 2m:
k
m
0000000
Smooth
Smooth
both boxes will have the same speed just as they move free of the spring.
both boxes will reach the same maximum height on the incline.
the lighter box will go twice as high up the incline as the heavier box.
just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box.
just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box.
Transcribed Image Text:A box of mass m is pressed against (but is not attached to) an ideal spring of force constant and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment (compressing the spring by the same amount) with a box of mass 2m: k m 0000000 Smooth Smooth both boxes will have the same speed just as they move free of the spring. both boxes will reach the same maximum height on the incline. the lighter box will go twice as high up the incline as the heavier box. just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box. just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box.
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