A 91 kg astronaut weighs about 900 N on Earth. Given that the force of gravity on Earth is 6 times that on the Moon.
(i) What is the mass of the astronaut on the Moon?
(ii) What is the weight of the astronaut on the Moon? Show your calculations

91 kg & 150 N

Explanation:

Given:

m = 91 kg

W = 900 N

The force of gravity on Earth = 6 x The force of gravity on Moon

To Find:

(i) What is the mass of the astronaut on the Moon?

(ii) What is the weight of the astronaut on the Moon? Show your calculations

Solution:

(i) The mass of the astronaut on the Moon = The mass of the astronaut on the Earth = 91 kg (Since mass is constant)

(ii) The weight of the astronaut on the Moon = The weight of the astronaut on the Earth/6

The weight of the astronaut on the Moon = 900 / 6

The weight of the astronaut on the Moon = 150 N

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