Question

A person weighing 800 Newtons travels to another planet with twice the mass and twice the radius of Earth. What is the person's weight on the new plant?

Answer 1

400N

Answer 2

Can you explain how you got there a bit? What equation/ formula did you use?

Answer 3

@MayankD :)

Answer 4

The weight of a body is basically the gravitational force acting on it,
Newtons law of gravitation states that force of attraction between two particles of mass M and m is given by
F=-GMm/(R^2){- sign just denotes that force is attractive}
where R is the distance between the two particles and G is the universal Gravitation constant
Now in this case let the mass of the person be m. it remains constant regardless of which planet the person is on
Let M be mass of Earth and R be radius of Earth[which is also distance between centre of eartha nd the person]
so,
800=-GMm/(R^2)-------(1)
Now the mass of the other planet is 2M and radius is 2R
So,
Weight=-G(2M)m/(2R)^2
Weight= Weight on earth/2=800/2=400N

Answer 5

Alrighty, thank you so much!