Physics

Physics

Problem

A ball possesses 200 J200\,\text{J} of kinetic energy while moving with a speed of 10 m/s10\,\text{m/s}. Find the mass of the ball. a) 4 kg4\,\text{kg} b) 2 kg2\,\text{kg} c) 20 kg20\,\text{kg} d) 40 kg40\,\text{kg}
Intuitive explanation

The key is recognizing that kinetic energy depends on both mass and speed through the formula KE=12mv2KE = \frac{1}{2}mv^2. You have two of the three quantities (energy and speed), so you can rearrange to solve for the unknown mass. This is a straightforward algebra problem once you set up the relationship correctly.

Intuitive explanation

The key is recognizing that kinetic energy depends on both mass and speed through the formula KE=12mv2KE = \frac{1}{2}mv^2. You have two of the three quantities (energy and speed), so you can rearrange to solve for the unknown mass. This is a straightforward algebra problem once you set up the relationship correctly.

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