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asteroid A has a mass of 7.80 times 10^20 kilograms, and asteroid B has a mass o

ID: 3505512 • Letter: A

Question

asteroid A has a mass of 7.80 times 10^20 kilograms, and asteroid B has a mass of 1.00 times 10kg. Assuming that the same force was applied to both, what would be the ratio of A’s acceeation to Bs acceleration s no a 6 Question (1 point) See page 65 1st attempt 7 See Hint Asteroid A has a mass of 7.80x1020 kilograms (ke), and asteroid B has a mass of 1.00x10ke Assuming that the same forde to both (a shock wave from a supernova, for example), what would be the ratio of A's acceleration to B's 06/09>

Explanation / Answer

The net force on an object equals to the mass of the object multiplied by the acceleration of the object.

F = mass . acceleraton

F = m. a

or

a = F/ m

m1= mass of the first asteroid = 7.80 * 10^20 kg =

m2 = mass of the second asteroid = 1* 10^18 kg

The force F acting on the two asteroids s equal

Ratio ---

a1 : a2

= F/ m1 : F/ m2  

Canceling out the force acting on the two asteroids, the ratio is -- m1: m2 or m1/m2

7.80 * 10^20 / 1.00 * 10^18

= 7.80 * 10 ^ 20-18/ 1

= 7.80^2 / 1

or 7.80^2: 1 Ans.