Two point masses and are fixed apart in vacuum

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

Two point masses

M_{1}=3.0\times10^{10}\,\text{kg}

and

M_{2}=4.0\times10^{10}\,\text{kg}

are fixed

0.30\,\text{m}

apart in vacuum. A point

P

is located exactly midway between them. (i) Find the gravitational potential at

P

. (ii) Determine the gravitational potential energy of a

1\,\text{kg}

test mass placed at

P