Question

Why does a man weigh less on the moon than on the Earth?

• A. Mass of the moon is less than the Earth, therefore, the force of attraction is less.
• B. Mass of the moon is more than the Earth, therefore, the force of attraction is more.
• C. Mass of the moon is equal to that of the Earth.
• D. Can't be said.

Answer 1

The correct option is A

Mass of the moon is less than the Earth, therefore, the force of attraction is less.

At surface of a planet or a satellite, acceleration due to gravity is given by:
$g=\frac{GM}{R^2}$
where:
M: Mass of the planet / satellite
R: Radius of the planet / satellite

$\therefore g\propto \frac{M}{R^2}$