Question

Two bodies are separated by a distance of 50 m and their masses are 500 kg and 1000 kg. If the distance between them is doubled and their masses are halved, then the new gravitational force is ___________.

• A. 1.5 G
• B. 12.5 G
• C. 50 G
• D. 5000 G

Answer 1

The correct option is B

12.5 G

Step 1, Given data

Given masses are 500 kg and 1000 kg

New masses are $m_1=\frac{500}{2}=250kg$ and $m_2=\frac{1000}{2}=500kg$

The initial distance is 50 m.

The new distance is $d=100m$

Step 2, Finding the new gravitational force

Then Gravitational force is given as $F=G\frac{m_1{m}_2}{d^2}$

Putting all the values

$F=G\frac{250\times 500}{{100}^2}$

After solving

$F=12.5G$

Hence the correct option is (B).