Question

A person weighs 764 n on the surface of earth and 5320 n on the surface of another planet. What is the acceleration due to gravity on the other planet?

Answer 1

The 'weight' of an object depends directly on the acceleration of gravity in the place where he happens to be.

This guy weighs 764N on Earth, and 5320N where he is now.  So wherever he is now, the acceleration of gravity there is  (5320/764) = 6.96 times the acceleration of gravity on Earth.

The acceleration of gravity on Earth is 9.81 m/s², so it's (9.81 x 6.96) = 68.3 m/s² on the surface of the mystery planet where he is now.

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Note:  The biggest, heaviest, most massive object in the solar system ... except for the sun itself ... is the planet Jupiter, where the acceleration of gravity is 24.8 m/s².

On the planet where our man has landed, gravity is 2.75 times as strong as on Jupiter, and about 1/4 as strong as on the Sun itself.  He weighs almost 1200 pounds there.  He certainly can't walk around, and he probably won't be able to lift off in his rocket either.

Answer 2

weight of person on earth = 764 N

mass ?

w=mg           (g =9.8m/s²)

m = w/g

m= 764/9.8

m= 77.9 kg

Weight of person on other planet =5320 N

w=mg

g =w/m

g= 5320 / 77.9

g =68.3 m/s² ( acceleration due to gravity on other planet)