A 2 kg block is released from rest at position 1, slides down a frictionless curve, proceeds on a rough level surface and then comes to rest at position 3, compressing an ideal spring a distance x from its equilibrium position (SP EQ). a) If the spring constant is 600 N/m, S = 8 m, H = 1m, and x = 0.2m, find uk, the coefficient of kinetic friction between the level surface and the block. b) If there was no friction between the block and the horizontal surface, how much would the spring be compressed? k SP EQ c) A 4 kg mass is attached to an ideal spring and experiences a force whose potential energy is given by U(x) = 10 x² (all in SI units). The block is moved from x = 0 to x = 6m and then %3D released from rest. Calculate the kinetic energy of the mass and the force it experiences at X = + 4 m.

A 2 kg block is released from rest at position 1, slides down a frictionless curve, proceeds on a rough level surface and then comes to rest at position 3, compressing an ideal spring a distance x from its equilibrium position (SP EQ). a) If the spring constant is 600 N/m, S = 8 m, H = 1m, and x = 0.2m, find uk, the coefficient of kinetic friction between the level surface and the block. b) If there was no friction between the block and the horizontal surface, how much would the spring be compressed? k SP EQ c) A 4 kg mass is attached to an ideal spring and experiences a force whose potential energy is given by U(x) = 10 x² (all in SI units). The block is moved from x = 0 to x = 6m and then %3D released from rest. Calculate the kinetic energy of the mass and the force it experiences at X = + 4 m.

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 2 kg block is released from rest at position 1, slides down a frictionless curve, proceeds on a
rough level surface and then comes to rest at position 3, compressing an ideal spring a
distance x from its equilibrium position (SP EQ).
a) If the spring constant is 600 N/m, S = 8 m, H = 1m, and x = 0.2m, find uk, the coefficient of
%3D
kinetic friction between the level surface and the block.
b) If there was no friction between the block and the horizontal surface,
how much would the spring be compressed?
1
|
k
H
www
SP EQ
S
c) A 4 kg mass is attached to an ideal spring and experiences a force whose potential energy is
given by U(x) = 10 x? (all in SI units). The block is moved from x = 0 to x = 6m and then
released from rest. Calculate the kinetic energy of the mass and the force it experiences at
X = + 4 m.
U(J)
m
E = 360 J
+160 J
+x (m)
0 2 4 6 8

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