a man weight 600 Newton on earth. what is its mass take g is equals to 10 m per second square . if he has taken to moon his weight would be hundred Newton . what is his mass on moon ? what is acceleration due to gravity on moon ?
Answers
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Solution - First of all we will find out the mass of man on the earth this can be done by using the formula : W = m×g
Here, weight of man on the earth, W = 600N
mass of man on the earth, m = ? (To be calculate)
And, Acceleration due to gravity, g = 10m s —2
Now, putting these values in the above formula ,we get :
600=m×10
so, m = 600/10
m = 60kg
Thus, the mass of the man on the earth is 60 kilograms now the mass of a body remains the same everywhere in the universe is so the mass of the man of the moon will be also 60 kilograms we will now calculate the value of acceleration due to gravity on the moon by using the same formula
W = m×g
Now, weight of man on the moon, W = 100TN
mass of the man on the moon,m = 60kg
And, Acceleration due to gravity ,g = ?
By putting these values in the above formula we get :
100= 60×g
So, g = 100/60
g = 1.66ms—2
Thus, the acceleration due to gravity on the surface of the moon is 1.66ms—2
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