The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?

The height a person can jump is inversely related to the acceleration due to gravity on the planet’s surface. This relationship means that if the gravitational pull is weaker, the person can jump to a greater height, as less force is pulling them back down.

In this scenario, the acceleration due to gravity on planet A is nine times greater than on planet B. On planet A, the person can jump to a height of 2 meters. When the same person jumps on planet B, where gravity is weaker, they can achieve a significantly higher jump because the reduced gravitational force allows their upward motion to last longer before being pulled back down.

Given the relationship between jump height and gravity, the height of the jump on planet B will be directly proportional to the reduction in gravity compared to planet A. Since planet A’s gravity is nine times stronger, the jump height on planet B will be nine times greater than on planet A. Therefore, the person will jump to a height of 18 meters on planet B. This demonstrates the impact of gravitational differences on physical activities, such as jumping, and highlights how gravity varies across celestial bodies.