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 2.5m from the centre of the sphere.
1) 2.67 × 10^-7 N
2)2.47 × 10^-7 N
3)2.07 × 10^-7 N
4)2.27 × 10^-7 N
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Answer 1

Answer:

4. 2.27 × 10^-7N

Explanation:

I think this is ans but I am not sure about it

Hope it helps you

Answer 2

Answer:

Gravitational force on the point mass is $2.1 * 10^{-8}N$

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  $F_G= \frac{GMm}{r^2}$,

$G=6.67430*10^{-11}m^3kg^{-1}s^{-2}$, G is the universal gravitational constant.

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

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