Answer:

Introduction:
A person can jump higher on the moon's surface than on the Earth because the acceleration due to gravity on the Moon is smaller than that on the Earth. This difference in gravity allows for greater upward motion and longer hang time while jumping on the Moon.

Explanation:
1. Difference in Gravitational Pull:
- The acceleration due to gravity on the Moon is only about 1/6th of the value on Earth.
- On Earth, the acceleration due to gravity is approximately 9.8 m/s², whereas on the Moon, it is only about 1.6 m/s².
- The lower gravitational pull on the Moon means that objects and individuals experience less force pulling them downward.

2. Impact on Jumping:
- When a person jumps, their muscles push against the ground, generating an upward force.
- On Earth, the force of gravity pulls the person downward, limiting the height they can reach and the duration of their jump.
- However, on the Moon, with its lower gravity, the force of gravity pulling the person downward is much weaker.
- As a result, the person can exert more force against the ground, allowing them to jump higher and experience longer hang time in mid-air.

3. Greater Upward Motion:
- The reduced gravitational pull on the Moon allows for greater upward motion during a jump.
- The person's legs can exert more force against the ground, propelling them higher into the air.
- With less force pulling them downward, they can experience a longer period of upward motion and stay in the air for a longer time compared to jumping on Earth.

4. Longer Hang Time:
- Due to the lower acceleration due to gravity on the Moon, a person's upward motion during a jump is slower than on Earth.
- The reduced force pulling them downward allows them to have an extended hang time in mid-air.
- This longer hang time gives the person a greater sense of weightlessness and allows them to stay in the air for a longer duration.

Conclusion:
In conclusion, a person can jump higher on the Moon's surface compared to the Earth because the acceleration due to gravity is smaller on the Moon. With less force pulling them downward, individuals can exert more force against the ground, resulting in greater upward motion, longer hang time, and higher jumps.