A 1.5-kg block slides down a 10-m long ramp inclined at 60° to the horizontal. The coefficient of friction between the block and the ramp is 0.3. Following the ramp, the block slides on a frictionless horizontal surface until colliding with a spring which compresses until the block is stopped. The spring is perfect with a spring constant of 500 N/m and does not dissipate any energy upon pushing the block in the opposite direction. ри a. What is the speed of the block after it reaches the bottom of the ramp? b. How much is the spring compressed? c. How far back up the ramp does the block make it after being rebounded by the spring?

A 1.5-kg block slides down a 10-m long ramp inclined at 60° to the horizontal. The coefficient of friction between the block and the ramp is 0.3. Following the ramp, the block slides on a frictionless horizontal surface until colliding with a spring which compresses until the block is stopped. The spring is perfect with a spring constant of 500 N/m and does not dissipate any energy upon pushing the block in the opposite direction. ри a. What is the speed of the block after it reaches the bottom of the ramp? b. How much is the spring compressed? c. How far back up the ramp does the block make it after being rebounded by the spring?

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

100%

A 1.5-kg block slides down a 10-m long ramp inclined at
60° to the horizontal. The coefficient of friction between
the block and the ramp is 0.3. Following the ramp, the
block slides on a frictionless horizontal surface until
colliding with a spring which compresses until the block
is stopped. The spring is perfect with a spring constant of
500 N/m and does not dissipate any energy upon
pushing the block in the opposite direction.
fu
a. What is the speed of the block after it reaches the
bottom of the ramp?
b. How much is the spring compressed?
c. How far back up the ramp does the block make it after
being rebounded by the spring?

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