A box of mass m is pressed against (but is not attached to) an ideal spring of force constantand negligible mass, compressing the spring a distance x. After it is released, the box slidesup a frictionless incline as shown in the figure and eventually stops. If we repeat thisexperiment (compressing the spring by the same amount) with a box of mass 2m:km0000000SmoothSmoothboth 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.

given: spring constant = K compressed distance = x velocity just as it moves free to spring = v…

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.

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.

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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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

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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