Question

If a person weighs 717 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

The acceleration due to gravity on that planet = 72.76
`m/s^2`

Step-by-step explanation:

Weight of person in earth = 717 N

We know that weight = mg

Acceleration due to gravity of earth =
`9.8m/s^2`

So mass of person = 717/9.8 = 73.16 kg

Mass of body is constant everywhere, so mass of person on the surface of a nearby planet = 73.16 kg

Weight on the surface of a nearby planet = 5320 N = mg', where g' is the acceleration due to gravity value of the nearby planet.

So 5320 = 73.16*g'

g' = 72.76
`m/s^2`

The acceleration due to gravity on that planet = 72.76
`m/s^2`