Question

What is the mass of an object if it is attracted with a force of 0.2 N to another object of mass 7000 kg when the objects are 0.04 m apart

Answer 1

6.85 × 10² kg

Step-by-step explanation:

Given:

F = 0.2 N

m₁ = 7000 kg

d = 0.04 m

`\boxed{F=(Gm_1m_2)/(d^2) }`

`0.2=(6.67*10^(-11)*7000* m_2)/(0.04^2)`

`2*10^(-1)=(6.67*10^(-11)*7*10^3* m_2)/((4*10^(-2))^2)`

`m_2=(2*10^(-1)*16*10^(-4))/(6.67*10^(-11)*7*10^(3))`

`=(2*16)/(6.67*7) *10^3`

`=6.85*10^2\ kg`