Calculating Weight and Mass of a 13-Year-Old Astronaut on Earth and the Moon

Let's break down the problem step by step.

Given:

• Mass of astronaut, m = 65 kg
• Gravitational field strength on Earth, g_Earth = 9.8 N/kg
• Gravitational field strength on Moon, g_Moon = 1.6 N/kg

Step 1: Calculate the weight on Earth

Weight is the force of gravity acting on an object. It is calculated by the formula:

Weight (W) = Mass (m) × Gravitational field strength (g)

On Earth:

W_Earth = 65 kg × 9.8 N/kg = 637 N

So, the astronaut's weight on Earth is 637 Newtons (N).

Step 2: State the mass on the Moon

Mass is the amount of matter in an object and does not change based on location.

Therefore, the astronaut's mass on the Moon remains the same as on Earth:

Mass on Moon = 65 kg

Additional Information:

Although the weight will be different on the Moon because the gravitational field strength is less, the mass remains constant.

If you want to calculate the astronaut's weight on the Moon, you can use the same formula:

W_Moon = 65 kg × 1.6 N/kg = 104 N

This means the astronaut weighs less on the Moon but keeps the same mass.