A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring?

Falak Kinney

Falak Kinney

Answered question

2021-02-25

A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring?

Answer & Explanation

Khribechy

Khribechy

Skilled2021-02-26Added 100 answers

The safe's potential energy is used to compress the spring, which then absorbs all of the safe's potential energy.
mg(h+x)=(12)kx2 
k=2mgh+xx2 
=2×1000×9.8×2.5(0.5)2 
k=196000 Nm

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