A man weigh 600 N on the earth. What is its mass? Take `g=10 m//s^(2)`. If he were taken on moon, his weight would be 100 N. What is his mass on moon? What is acceleration due to gravity on moon?

Explanation

First of all we will find out the mass of man on the earth. This can be done by using the the formula :
`Wxxmg`
Here Weight of man on earht W = 600 N
Mass of man on earth , m=? (to br calculated )
And Acceleration due to gravity , `g= 10 m s ^(-2)`
(on earth)
Now Putting these values in the above formula ,we get
`600 =m xx10`
So, `m=600/10`
m=60 kg
Thus, the mass of man in the earth is 60 kilograms .Now the mass of a body remaind the same everywhere in the universe.So the mass of this man on the moon by using the same formula :
We will now calculate the value of acceleration due to gravity on the moon by using the same formula :
`W=mxxg`
Now ,Weight of man on the moon W =100 N
Mass of the man on moon , m=60 kg (Calculated above )
And , Acceleration due to gravity g= ? (to be calculated )
(on the moon )
by Putting these values in the above fornula we get :
`100=60 xxg`
`g=100/60`
`g=1.66 m s^-(2)`
Thus ,the accelaration due gravity on the surface of the moon is `( 1.66 ms^-2)`