Question

Calculate the gravitational force of a 90.0 kg person who is standing on the planet next to your name . Write the given , equation , substitution , and final answer in 3 significant figures . lanet Mass (kilograms ) Radius( meters Mercury 3.29 9 * 10 ^ 23 2.44 x 10 ^ 6 Planetary Data

Answer 1

$m=90.0\operatorname{kg}$

this is the mass of the person.

Force of gravitation is given by,

$F=\frac{\text{GmM}}{r^2}$

M is the mass of the planet.

G is the universal gravitational constant. r is the radius of the planet.

substituting the values we get,

$\begin{gathered} F=\frac{6.67\times10^{-11}\times3.29\times10^{23}\times90.0}{(2.44\times10^6)^2} \\ =331.7\text{ N} \end{gathered}$

hence the gravitational force is 331.7N