Question

A new planet is discovered that has twice the Earth's mass and twice the Earth's radius. On the surface of this new planet a person who weights 500 N on Earth would experience a gravitational force of ______.

(A) 125 N
(B) 250 N
(C) 500 N
(D)) 1000 N
(E) 2000 N

Answer 1

option B

Step-by-step explanation:

Radius of new planet,R' = 2R

Mass of the earth, M' = 2 M

R and M is the Radius and Mass of the earth.

Weight of the person on earth = 500 N

Weight of the person in the new planet = ?

We know acceleration due to gravity is calculated by using formula

`g = (GM)/(R^2)`

now, acceleration due to gravity on the new planet

`g' = (GM')/(R'^2)`

`g' = (G(2M))/((2R)^2)`

`g' =(1)/(2) (GM)/(R^2)`

`g' =(g)/(2)`

here acceleration due to gravity is half in new planet, so weight will also be half on the new planet.

Weight on the new plane is equal to
`(500)/(2)` = 250 N

correct answer is option B