A 54 kg rock lies on the surface of the moon. The weight of the rock on the moon is 94.78 N
The weight of an object is equal to the gravitational force acted on the object, given by:
F = GMm/r²
Where:
G = gravitational constant
= 6.674 x 10⁻¹¹ N.m²/kg²
In this case
M = mass of the moon = 7.36 x 10²² kg
m = 54 kg
r = moon's radius = 1.7 x 10³ km = 1.7 x 10⁶ m
Plug these parameters into the formula:
F = 6.674 x 10⁻¹¹ x 7.36 x 10²² x 54 /(1.7 x 10⁶)²
= 94.78 N
Thus, the weight of the rock on the moon is 94.78 N
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