Question

Find the force a 68.5 kg person would experience while standing on the surface of Mars. Mars has a mass of 6.43 x 1023 kg and a radius of 3.43 x 106m from its center to the surface.

Answer 1

Answer: The correct answer is F=249.82N.

Explanation:

The expression for the gravitational force is as follows:

`F=(GMm)/(r^(2))`

Here, M, m are the masses, G is the universal gravitational constant and r is the distance between masses.

It is given in the problem that a person having mass 68.5 kg experience a force while standing on the surface of mars.

Put m= 68.5 kg,
`r=3.43* 10^(6) m`,
`G=6.67* 10^(-11) N m^(2) kg^(-2)` and
`M=6.43* 10^(23) kg` in the above expression.

`F=((6.67* 10^(-11))(6.43* 10^(23))(68.5))/((3.43* 10^(6))^(2))`

F=249.82 N

Therefore, the correct answer is F=249.82 N.

Answer 2

F = Gm1m2/r^2 = 6.67 x 10^-11 * 68.5 * 6.43 x 10^23 / (3.43 x 10^6)^2 = 2.93 x 10^15 / 1.18 x 10^13 = 249.7N