Question

Two asteroids are 75000 m apart one has a mass of 8 x 10^7 kg if the force of gravity between them is 1.14 what is the mass of the asteroid

3.4 x 10^11 kg

8.3 x 10 ^12 kg

1.2 x 10 ^12 kg

1.2 x 10^10 kg

Answer 1

1.2 × 10¹² kg

Step-by-step explanation:

The gravitational attraction between both asteroids can be expressed through Newton's law of universal gravitation.

`F=G(m_(1).m_(2))/(r^(2) )`

where,

F: gravitational force

G: gravitational constant

m: masses of the asteroids

r: distance between the asteroids

`m_(2)=(F.r^(2))/(G.m_(1)) =(1.14N * (75,000m)^(2))/((6.67 * 10^(-11) N.m^(2)/kg^(2)) * 8 * 10^(7)kg ) =1.2 * 10^(12) kg`