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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?

Respuesta :

Answer:

[tex]\frac{a1}{a2}  = \frac{29}{850}[/tex]

Explanation:

given data

mass A = 1.70  × [tex]10^{20}[/tex] kilograms

mass B = 5.80 × [tex]10^{18}[/tex] 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

[tex]\frac{a1}{a2} = \frac{mb}{m1}[/tex]

here a is acceleration and m is mass

so

[tex]\frac{a1}{a2} = \frac{5.80*10^{18}}{1.70*10^{20}}[/tex]

[tex]\frac{a1}{a2} = \frac{29}{850}[/tex]

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