Question

A uniform, solid, 1000kg sphere has a radius of 5m. Find the gravitational force this sphere experts on a 2kg point mass placed at a distance of 2.50m from the centre of the sphere.​

Answer 1

Answer:

Gravitational force on the point mass is 2.1 * 10^{-8}N2.1∗10

−8

N

Explanation:

Mass of the sphere (M) = 1000 kg, radius of the sphere is (r) =5m

mass of the point mass placed (m)=2 kg.

the distance of m from the center= 2.5m

Force of gravitation between two objects is given by F_G= \frac{GMm}{r^2}F

G

=

r

2

GMm

,

G=6.67430*10^{-11}m^3kg^{-1}s^{-2}G=6.67430∗10

−11

m

3

kg

−1

s

−2

, G is the universal gravitational constant.

F_G=\frac{6.67430*10^{-11}*1000*2}{2.5^2}= 2.135 *10^{-8} NF

G

=

2.5

2

6.67430∗10

−11

∗1000∗2

=2.135∗10

−8

N .

I have checked with the values, the correct answer did not match any option. But the calculation above is correct.