An object is held against a compressed spring. When released from rest it is pushed to the right along a horizontal surface, for which there is friction. After reaching point B it moves along the curved, frictionless surface. The mass m of the object, the spring constant of the spring, k, the compression of the spring, x, the R coefficient of kinetic friction on the horizontal part of the track, li, the distance between A and B, LAB, and the radius of the circular track, R, are all given. m=2.5kg k=500ON/m x=0.14m u=0.4 LAB=0.65m R=0.45m a. Determine the initial potential energy stored in the spring. b. Find the work done on the block by friction as the block moves from A to B. c. Use energy considerations to find the object's speed vs at B. Consider your system to consist of the block, the track, the spring and Earth. Explain your work.

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An object is held against a compressed spring. When released
from rest it is pushed to the right along a horizontal surface, for
which there is friction. After reaching point B it moves along the
curved, frictionless surface. The mass m of the object, the spring
constant of the spring, k, the compression of the spring, x, the
coefficient of kinetic friction on the horizontal part of the track,
k, x
R
li, the distance between A and B, LAB, and the radius of the
circular track, R, are all given.
A.
m=2.5kg k=5000N/m x-0.14m =0.4 LAn=0.65m R=0.45m
a. Determine the initial potential energy stored in the spring.
b. Find the work done on the block by friction as the block moves from A t B.
c. Use energy considerations to find the object's speed Vg at B. Consider your system to consist of the
block, the track, the spring and Earth. Explain your work.
d. Find the change in potential energy between B and C.
e. Determine the speed of the object at point C. Explain. (Hint: remember that there is no friction on the
curved track, so you don't have to worry about friction here)
f. Determine the force of the ramp on the object at point C. (consider drawing a FBD)
Transcribed Image Text:UM apa yuu wUIR An object is held against a compressed spring. When released from rest it is pushed to the right along a horizontal surface, for which there is friction. After reaching point B it moves along the curved, frictionless surface. The mass m of the object, the spring constant of the spring, k, the compression of the spring, x, the coefficient of kinetic friction on the horizontal part of the track, k, x R li, the distance between A and B, LAB, and the radius of the circular track, R, are all given. A. m=2.5kg k=5000N/m x-0.14m =0.4 LAn=0.65m R=0.45m a. Determine the initial potential energy stored in the spring. b. Find the work done on the block by friction as the block moves from A t B. c. Use energy considerations to find the object's speed Vg at B. Consider your system to consist of the block, the track, the spring and Earth. Explain your work. d. Find the change in potential energy between B and C. e. Determine the speed of the object at point C. Explain. (Hint: remember that there is no friction on the curved track, so you don't have to worry about friction here) f. Determine the force of the ramp on the object at point C. (consider drawing a FBD)
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