Question

A box sits on a platform supported by a compressed spring. The box has a mass of 1.0 kg. When the spring is released, the spring gives 14.7 J of energy to the box. What will be the maximum height above the platform reached by the box before it begins to fall

Answer 1

The maximum height above the platform reached by the box before it begins to fall is 1.5 m.

The given parameters:

• Mass of the box, m = 1.0 kg
• Energy stored in the spring, E = 14.7 J

The maximum height above the platform reached by the box before it begins to fall is calculated as follows;

$mgh = E\\\\h = \frac{E}{mg} \\\\h = \frac{14.7}{1 \times 9.8} \\\\h = 1.5 \ m$

Thus, the maximum height above the platform reached by the box before it begins to fall is 1.5 m.

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