Question

A 28-kg particle exerts a gravitational force of 8.3 x 10^-9 N on a particle of mass m, which is 3.2 m away. What is m? A) 140 kg B) 8.5 x 10^-10 kg C) None of the choices are correct D) 46 kg E)1300 kg

Answer 1

Answer:

Mass of another particle, m = 46 kg  

Explanation:

it is given that,

Mass of first particle, m₁ = 28 kg

Gravitational force, $F=8.3\times 10^{-9}\ N$

Distance between the particles, d = 3.2 m

We need to find the mass m of another particle. It is given by the formula as follows :

$F=G\dfrac{m_1m}{d^2}$

$m=\dfrac{Fd^2}{Gm_1}$

$m=\dfrac{8.3\times 10^{-9}\ N\times (3.2\ m)^2}{6.67\times 10^{-11}\times 28\ kg}$

m = 45.5 kg

or

m = 46 kg

So, the correct option is (d) "46 kg". Hence, this is the required solution.