A spring of negligible mass has force constant k = 1800 N/m Part A How far must

Question

A spring of negligible mass has force constant k = 1800 N/m

Part A How far must the spring be compressed for an amount 3.50 J of potential energy to be stored in it? Express your answer using two significant figures.

______ = m

Part B You place the spring vertically with one end on the floor. You then drop a book of mass 1.50 kg onto it from a height of 0.500 m above the top of the spring. Find the maximum distance the spring will be compressed. Take the free fall acceleration to be 9.80 m/s2 . Express your answer using two significant figures.

_______ = m

Explanation / Answer

U = kx^2/2

x = compression/expenssion

k = spring constnat

3.50 = 1800 * x^2/2

x = 0.062 m

part b )

using energy conservation

mg(h+x) = kx^2/2

1.5 * 9.8 * (0.5+ x) = 1800 * x^2/2

1.5 * 9.8 * (0.5+x) = 900*x^2

7.35 + 14.7x = 900 x^2

x = 0.0989 = 0.099 m

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