Question

1 A person weighs 117.36 N on the Moon, whose acceleration due to gravity is th that of the 6 Earth. If the acceleration due to gravity on the Earth is 9.78 m/s?, calculate (i) the mass of the person, and (ii) the weight of the person on the Earth.​

Answer 1

Answer:

Mass of the person=2kg

Weight of the person on Earth=19.56N

Explanation:

For our convenience, the acceleration due to gravity on Earth has been provided by the question and it is 9.78$m/s^{2}$. Since this gravity on the moon is 6 times that of Earth, the acceleration due to gravity on the moon is  58.68$m/s^{2}$.

We know that weight is always mass times acceleration. Thus, a person's weight on the moon being 117.36N gives us the mass of the person.

m*a=117.36        (a being the acceleration due to gravity on the moon)

m*58.68=117.36

m=2 kg

We know the mass of the person. Therefore, by using the same formula, we can find out the weight of the person on Earth.

m*g=Weight of the person on Earth

2*9.78