Asteroid a has a mass of 7.80×1020 kilograms (kg), and asteroid b has a mass of 3.70×1018 kg. assuming that the same force was applied to both (a shock wave from a supernova, for example), what would be the ratio of a’s acceleration to b’s acceleration?

The ratio of asteroid-A’s acceleration to asteroid-B’s acceleration is 37:7800.

Explanation:

Mass of asteroid-A = m =

Mass of asteroid-B = m' =

As we know , Force = mass × Acceleration

1) Force on an asteroid-A

where , a is the acceleration due to force applied on asteroid-A

2) Force on an  asteroid-B

where , a' is the acceleration due to the force applied on asteroid-B

Same force is exerted on the both the asteroids say F.

F = F'

The ratio of asteroid-A’s acceleration to asteroid-B’s acceleration is 37:7800.