Question

If a person weighs 818 N on earth and 5320 N on the surface of a nearby planet, what is the acceleration due to gravity on that planet?

Answer 1

`g'=63.74\ m/s^2`

Step-by-step explanation:

It is given that,

Weight of the person on Earth, W = 818 N

Weight of a person is given by the following formula as :

`W=mg`

g is the acceleration due to gravity on earth

`m=(W)/(g)`

`m=(818\ N)/(9.8\ m/s^2)`

m = 83.46 kg

The mass of an object is same everywhere. It does not depend on the location.

Let W' is the weight of the person on the surface of a nearby planet, W' = 5320 N

g' is the acceleration due to gravity on that planet. So,

`g'=(W')/(m)`

`g'=(5320\ N)/(83.46\ kg)`

`g'=63.74\ m/s^2`

So, the acceleration due to gravity on that planet is
`63.74\ m/s^2`. Hence, this is the required solution.