Question

Suppose that you have a mass of $70kg$. How much mass must another object have in order for your body and the other object to attract each other with a force of $1N$ when separated by $10m$?

• A. $2.14\times {10}^{10}kg$
• B. $3.14\times {10}^{10}kg$
• C. $4.14\times {10}^{10}kg$
• D. $1.14\times {10}^{10}kg$

Answer 1

The correct option is A $2.14\times {10}^{10}kg$

Given:

Mass of object-1 is $m_1=70kg$

Distance between the otwo objects $r=10m$

Gravitational force $F=1N$

Mass of object-2 is $m_2=?$

We know from Newton's law of gravitation that $F=\frac{G{m}_1{m}_2}{r^2}$

$1=\frac{6.67\times {10}^{-11}\times 70\times m_2}{{10}^2}$

$m_2=2.14\times {10}^{10}kg$