A man weighs 600 N on the earth. What is his mass? If he were taken to the moon, his weight would be 100N. What is his mass on the moon? What is the acceleration due to gravity on the moon? (60kg, 60kg, 1.66m/s2)
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Solution
Given, weight on earth = 600 N
Since, W = mg
As, acceleration due to gravity (g) on earth 10 m/s2
So, 600 = m X 10
m = 60 kg
On moon weight of the man, W' = 100 N
Mass of the man will remain same on moon as that of the earth = 60 kg
Since, W' = m g'
where g' is the value of acceleration due to gravity on the moon
So, g' = W'/ m = 100/60 = 1.67 m/s2.