Conversation of mechanical energy

AI Thread Summary
The discussion revolves around a physics problem involving a 700 g block released from height h above a vertical spring with a spring constant of 400 N/m. The block compresses the spring by 19.0 cm, leading to calculations of work done by the block on the spring, which is found to be 7.22 J, and the work done by the spring on the block, which is -7.22 J. The height h is calculated to be 0.86 m, and the maximum compression of the spring when the block is released from a height of 2.00h is determined to be 0.26 m using the quadratic formula. The discussion emphasizes the importance of significant figures in the final answers.
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Homework Statement


A 700 g block is released from rest at height h(not) above a vertical spring with spring constant k= 400 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.0 cm. How much work is done (a) by the block on the spring and (b) by the spring on the block? (c) What is the value of h(not)? (d) If the block were released from height 2.00h(not) above the spring, what would be the maximum compression of the spring?


Homework Equations


h(not)=h0

Work on block wb= -1/2 kx^2
h(not)=-x +1/2 kx^2/mg
to find x :kx^2 -2mgx - 4mgh(not) = 0



The Attempt at a Solution


a. i used work on block and got 7.22J
b. would be opposit energy of work on block thus being -7.22J
c.used h(not) and got 0.86 m
then from finding x i used quadratic formul and got x=0.26 m
d. do not know how to find2.00h(not)
 
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You seem to have answered problem d at the end of problem c. I think you need
3 significant digits in your answer.
 
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