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Q. 46

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 258

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Short Answer

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

The spring constant of the spring is .

See the step by step solution

Step by Step Solution

Step 1: Given information

The weight of the safe

The distance between the safe and heavy-duty spring,

The safe hits the spring and compresses it .

Step 2: Explanation

The potential energy of a mass at height h is taken as . Energy stored in the spring with spring constant k when it is compressed by a distance x is .

The safe hits the spring with KE,

This energy is stored in the spring when it is compressed. That is

The energy is conserved. The potential energy of the safe is converted to the energy stored in the spring when the spring is compressed.

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