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Answers
Answer:
His mass is 60 kg
His mass on moon = 60 kg
Acceleration due to gravity on moon = 9.8/6
= 1.6ms¯²
Weight of man on earth, W = 600 N
Acceleration due to gravity on the earth is ,g = 10 m/s²
Let the mass of man be m.
We know that,
Weight in earth = mass × acceleration due to gravity in earth.
Weight in earth, W = mg
The mass of the man in earth is 60 kg.
When the man is taken to the moon, his weight is 100 N.
Let the weight of man in moon be w.
So, w = 100 N.
Since mass of an object is independent of acceleration due to gravity, mass is constant , irrespective of the planet .
Hence the mass of the man is constant. It is same at earth and moon.
Mass of man in moon = Mass of man in earth
Mass of man in moon is 60 kg.
Let the acceleration due to gravity on moon be g'.
Weight in moon = mass × acceleration due to gravity in moon
w = mg'
g'= w/m
g' = 1.67 m/s²
The acceleration due to gravity on moon is 1.67 m/s².
A POINT TO REMEMBER
Acceleration due to gravity on moon is one sixth of the acceleration due to gravity on earth.
g' = g/6
Where g' is the acceleration due to gravity on moon
g is the acceleration due to gravity on earth