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A car weighing $1600 kg$ moving with a velocity of $30 m / s$ retards uniformly thereby coming to rest in $20 s$ . What is the initial momentum of the car?

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48000 kg m / s

47000 kg m / s

48500 kg m / s

47500 kg m / s

answer is A.

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Detailed Solution

The initial momentum of a car weighing

1600 kg

moving with a velocity of

30 m / s

, which retards uniformly and comes to rest in

20 s

48000 kg m / s

Given: Mass of the car

(m) = 1600 kg

Initial velocity

(u) = 30 m / s

Final velocity

(v) = 0 m / s

(Since the car comes to rest)
Time taken

(t) = 20 s

By using the formula,

Momentum (p) = Mass \times Velocity

Therefore,

Initial momentum = Mass \times Initial velocity

p = 1600 kg \times 30 m / s

p = 48000 kg m / s

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