4. A spring has a normal length equal to 15 in. and the constant for it is 4 lb
ID: 1879962 • Letter: 4
Question
4. A spring has a normal length equal to 15 in. and the constant for it is 4 lb per in. One end of the spring is attached to a stationary support, and the other end of the spring is attached to a movable block which can only travel along a straight horizontal path. After the block has been moved so that the length of the spring was reduced to 10 in., the force that was applied to the block to cause this movement was taken away and the spring was permitted to return to its original length. The amount of work done by the spring in bringing the block back to its original starting position was
4. A spring has a normal length equal to 15 in. and the constant for it is 4 lb per in. One end of the spring is attached to a stationary support, and the other end of the spring is attached to a movable block which can only travel along a straight horizontal path. After the block has been moved so that the length of the spring was reduced to 10 in., the force that was applied to the block to cause this movement was taken away and the spring was permitted to return to its original length. The amount of work done by the spring in bringing the block back to its original starting position was
A. 50 in-lb. B. 125 in-lb. C. 250 in-lb. D. 175 in-lb.Explanation / Answer
x2 = 15in
k = 4 Ib per in
x1= 10in
Work done = 1/2 k ( x2^2 - x1^2)
W= 1/2 ×4× ( 15^2 - 10^2)= 1/2× 4× 125= 250J
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