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

Mass of another particle, m = 46 kg

Step-by-step explanation:

it is given that,

Mass of first particle, m₁ = 28 kg

Gravitational force,
`F=8.3* 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(m_1m)/(d^2)`

`m=(Fd^2)/(Gm_1)`

`m=(8.3* 10^(-9)\ N* (3.2\ m)^2)/(6.67* 10^(-11)* 28\ kg)`

m = 45.5 kg

or

m = 46 kg

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