A block of mass m=0.25 kg starts at rest at the top of an inclined plane of height h=0.8 m as shown above. The block travels down the inclined plane and makes a smooth transition onto a horizontal surface. While travelling on the horizontal surface, the block collides with and attaches to a spring with spring constant k= 800 N/m. There is negligible friction between the block and both the inclined plane and the horizontal surface and the spring has negligible mass. m = 0.25 kg k = 800 N/m m h = 0.8 m Determine the speed of the block just before it collides with the spring. Determine the maximum compression of the spring. c. Determine the time from when the block collides with the spring to when the spring reaches its maximum compression.

A block of mass m=0.25 kg starts at rest at the top of an inclined plane of height h=0.8 m as shown above. The block travels down the inclined plane and makes a smooth transition onto a horizontal surface. While travelling on the horizontal surface, the block collides with and attaches to a spring with spring constant k= 800 N/m. There is negligible friction between the block and both the inclined plane and the horizontal surface and the spring has negligible mass. m = 0.25 kg k = 800 N/m m h = 0.8 m Determine the speed of the block just before it collides with the spring. Determine the maximum compression of the spring. c. Determine the time from when the block collides with the spring to when the spring reaches its maximum compression.

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

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A block of mass m=0.25 kg starts at rest at the top of an inclined plane of height h=0.8 m
as shown above. The block travels down the inclined plane and makes a smooth transition
onto a horizontal surface. While travelling on the horizontal surface, the block collides
with and attaches to a spring with spring constant k= 800 N/m. There is negligible friction
between the block and both the inclined plane and the horizontal surface and the spring
has negligible mass.
m = 0.25 kg
k = 800 N/m
h = 0.8 m i
Determine the speed of the block just before it collides with the spring.
b. Determine the maximum compression of the spring.
c. Determine the time from when the block collides with the spring to when the spring
reaches its maximum compression.

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