Question

The acceleration of gravity on the surface of the Moon is about one-sixth the surface gravity on Earth (i.e. gmoon = 1.62 m/s2).

The weight of an astronaut plus his space suit on the Moon is only 250 N.

What is his mass on the Moon?

Answer 1

The mass of the astronaut on the Moon is 154.32 kilograms.

Step-by-step explanation:

To find the mass of the astronaut on the Moon, you can use the formula for weight:

Weight (W) = Mass (m) * Acceleration due to gravity (g)

Given:

Weight on the Moon (Wmoon) = 250 N

Acceleration due to gravity on the Moon (gmoon) = 1.62 m/s²

You want to find the mass (m) on the Moon.

First, rearrange the formula to solve for mass:

m = W / g

Now, plug in the values:

m = 250 N / 1.62 m/s² ≈ 154.32 kg

So, the mass of the astronaut on the Moon is approximately 154.32 kilograms.