Weight is determined by multiplying the mass of an object in kilograms times the acceleration due to gravity.
W = m x g
W = weight in Newtons
m = mass in kg
g = acceleration due to gravity in m/`~s^2`
Step 1: Determine the mass of the object.
The acceleration due to gravity on the moon is equal to: 1.622 m/`~s^2` .
The weight on the moon is equal to: 100 N
Plugging these values into the formula for weight enables us to calculate the mass of the object in kilograms.
100 N = mass x 1.622
mass = 100/1.622 = 61.7 kg
Step 2: Determine the weight of the object on Earth.
The acceleration due to gravity on Earth is equal to: 9.8 m/`~s^2` .
The mass of the object on Earth will be the same as the mass of the object on the moon: 61.7 kg
Plugging these values into the formula for weight enables us to calculate the weight of the object on Earth.
weight = 61.7 x 9.8 = 605 N
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