Question

Asteroid A has a mass of 1.70×1020 kilograms (kg), and asteroid B has a mass of 5.80×1018 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?

Answer 1

`(a1)/(a2)  = (29)/(850)`

Step-by-step explanation:

given data

mass A = 1.70 ×
`10^(20)` kilograms

mass B = 5.80 ×
`10^(18)` kilograms

to find out

what would be the ratio of A’s acceleration to B’s acceleration

solution

we know from newton law of motion that is

Force = mass × acceleration ...........................1

we know here force applied on both are same

so Force A = Force B

so we can say

mass 1 × acceleration 1 = mass 2 × acceleration 2

so

`(a1)/(a2) = (mb)/(m1)`

here a is acceleration and m is mass

so

`(a1)/(a2) = (5.80*10^(18))/(1.70*10^(20))`

`(a1)/(a2) = (29)/(850)`