Question

The acceleration due to gravity on Earth is six times to that on Moon. A person weighs 90 N on Moon, then (Take, g = 10 m/s2 on Earth)​

Answer 1

Given :-

▪ The acceleration due to gravity on Earth is six times to that of moon.

▪ A person weighs 90 N on moon.

To Find :-

▪ Weight on earth.

Solution :-

Since, the mass of a body is same everywhere, but the weight remains a variable and depends on acceleration due to gravity.

So, Let's find the mass of body first, given that the acceleration due to gravity of the moon is one sixth of that of earth. [ g = 10 m/s² of earth ]

We have,

⇒ Weight = Mass × Acceleration due to gravity

⇒ 90 = mass × 1/6 × g

⇒ 90 = mass × 10 / 6

⇒ 9 × 6 = mass

⇒ mass = 54 kg

Now, Given that the gravity on Earth is g = 10 m/s²

So,

⇒ Weight on earth = Mass × Acceleration due to gravity

⇒ Weight on earth = 54 × 10

⇒ Weight on earth = 540 N

Hence, The weight of same person is 540 N on earth.