Question

# The weight of an astronaut plus his space suit on the Moon is only 127 N....

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/s2.

SOLUTION:

Given in the question,

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

The acceleration due to gravity on the MOON is 1.67 m/s2. gmoon = 1.67 m/s2.

The weight of an astronaut on the earth = ? Let say Wearth.

From Newton's Second law we know:

W = mg

so,

Wmoon= mass * gmoon

127 N = mass * 1.67 m/s2

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

now,

Wearth = mass * gearth ( gearth = 10 m/s2 , as for the value given gmoon = gearth/6)

Wearth = 76.047 Kg * 10 m/s2

Wearth = 760.47 N

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

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