A vertical spring with k = 490 N/m is standing on the ground. You are holding...

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Physics

A vertical spring with k = 490 N/m is standing on theground. You are holding a 5.8 kg block just above the spring, notquite touching it.
(a) How far does the spring compress if you let go of the blocksuddenly?
m

(b) How far does the spring compress if you slowly lower the blockto the point where you can remove your hand without disturbingit?
0.116 m is the answer I got and know how to get

(c) Why are your two answers different?
I think it is because one of them includes kinetic energy andthe other doesn't
PLEASE USE MY VALUES AND EXPLAIN ANSWER! Do not answer if youare not sure...

Answer & Explanation Solved by verified expert

3.9 Ratings (538 Votes)

In the first case we must examine the potential energy being converted into the potential energy of the spring and in the second case since the process occurs so slowly we can examine the forces acting the mass after it finds equilibrium In the first case we have Ui Si Uf Sf Energy conservation theorem between gravitational potential and the spring potential Now lets imagine the xaxis increasing upward with the See Answer

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