High School

An astronaut has a mass of 80 kg on Earth.

1. What will be his mass on the Moon?
2. Calculate his weight on the Moon. (Acceleration due to gravity on the Moon is [tex]1.6 \, \text{m/s}^2[/tex])

Options:
A. Mass on the Moon = 128 kg, Weight on the Moon = 128 N
B. Mass on the Moon = 80 kg, Weight on the Moon = 128 N
C. Mass on the Moon = 50 kg, Weight on the Moon = 80 N
D. Mass on the Moon = 80 kg, Weight on the Moon = 80 N

Answer :

Final answer:

Mass on the Moon = 80 kg, Weight on the Moon = 128 N

Explanation:

The mass of an object remains the same regardless of its location in the universe. Therefore, the astronaut's mass on the Moon remains 80 kg, as it was on Earth.

Weight, on the other hand, depends on the gravitational field strength of the celestial body. To calculate the weight on the Moon, we use the formula:

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

Given the acceleration due to gravity on the Moon (g = 1.6 m/s²) and the astronaut's mass (m = 80 kg), we can calculate the weight on the Moon:

W = 80 kg x 1.6 m/s² = 128 N

So, the astronaut's weight on the Moon is 128 Newtons (N). This is because the Moon's gravity is weaker than Earth's, resulting in a lower weight while the mass remains the same.

Option 2 is the correct answer, as it correctly states that the astronaut's mass on the Moon is 80 kg, and his weight on the Moon is 128 N.

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