-2.0 cm 2.0 cm 4.0 cm J. A 4.1 kg block i attached to a spring with a furce cons
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Question
-2.0 cm 2.0 cm 4.0 cm J. A 4.1 kg block i attached to a spring with a furce constant of 5mshoun i the . (a) Pind the work done by the spring on the block as the block moves from A to B along paths 1 and (b) If you increase the mass of the block, does the work done by the spring increase, decrease, or stay 2. the same? (Show work done by each segment of each path.) 4. In the system shown in the previous problem, suppose the block has a mass of 2.7 kg, the spring has a force constant of 480 N/m, and the coefficient of kinetic friction is 0.16. (a) Find the work done on the block by the spring and by friction as the block goes from point A to point B along path 2. (b) Find the work done on the block by the spring and by friction if the block is moved directly from point A to point B.Explanation / Answer
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3.
a)
Work Done by the spring on the block as the block moves along path 1 is
W1 =(1/2)K[(x12-x22)+(x22-x32)] =(1/2)*550*[(0-0.042)+(0.042-0.022)]
W1= -0.11 J
Work Done by the spring on the block as the block moves along path 1 is
W2 =(1/2)K[(x12-x42)+(x42-x32)] =(1/2)*550*[(0-(-0.02)2)+((-0.022)-0.022)]
W2=-0.11 J
b)
Stays the same ,since work done by spring does not depend on mass
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