Question

The weight of a person on a planet A is about half that on the Earth. He can jump up to 0.4 m height on the surface of the Earth. How high can he jump on planet A?

(a) 0.2 m
(b) 0.4 m
(c) 0.8 m
(d) 1.6 m

Answer 1

The height a person can jump on another planet is inversely proportional to the gravitational acceleration. If a person weighs half as much on planet A compared to Earth, they can jump twice as high, making option (d) 1.6 m the correct answer.

Step-by-step explanation:

To calculate how high a person can jump on planet A compared to Earth, we must understand the relationship between gravitational force and jump height. On planet A, a person weighs half as much as they do on Earth. Since weight is the force due to gravity, we can infer that the gravitational acceleration on planet A is half that of Earth's.

The height to which a person can jump is inversely proportional to the gravitational acceleration. If a person can jump up to 0.4 m on Earth, on planet A where the gravity is half, they should be able to jump twice as high, assuming the same effort and energy expenditure in the jump.

Therefore, the correct option is (d) 1.6 m, as the person would be able to jump four times higher on planet A than on Earth if the gravitational force is half as much.