If the velocity of the spacecraft is 250 m/s and the asteroid is pushed back –25 m/s, what is the mass of the asteroid? Assume there is no net force on the system. 100 kg 6,250 kg 10,000 kg 6,250,000 kg

Explanation:

10,000 kg

Explanation:

Here, the concept used is 'Law of Conservation of Momentum'.

i.e. m1v1 = m2v2

Now,

m1 = 1000 kg

v1 = 250 m/s

m2 = ?

v2 = -25 m/s [-'ve sign shows direction of motion of asteroid is opposite to direction of spacecraft]

Therefore,

m2 = (1000 x 250)/25

= 10,000 kg

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