Question

The weight of an astronaut plus his space suit on the Moon is
only 127 N. What is the **weight of the astronaut in SI units
on Earth**? The acceleration due to gravity on the Moon is
1.67 m/s^{2}.

Answer #1

SOLUTION:

Given in the question,

The Weight of an astronaut plus his space suit on the moon is
127 N. Let say W_{moon} = 127 N.

The acceleration due to gravity on the MOON is 1.67
m/s^{2}. g_{moon} = 1.67 m/s^{2}.

The weight of an astronaut on the earth = ? Let say
W_{earth}.

From **Newton's Second law** we know:

W = mg

so,

W_{moon}= mass * g_{moon}

_{ }127 N = mass * 1.67 m/s^{2}

^{ }mass = 76.047 Kg ( as mass is independent
of gravity , so same on moon and earth )

now,

W_{earth} = mass * g_{earth} ( g_{earth}
= 10 m/s^{2} , as for the value given g_{moon} =
g_{earth}/6)

W_{earth} = 76.047 Kg * 10 m/s^{2}

W_{earth} = 760.47 N

**Hence, the weight of an astronaut on the earth will be
760.47 N. ( S.I. UNITS )**

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