Question

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?

Answer 1

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)`