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.

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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
Transcribed Image Text: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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