Question

A train of mass 400 tonnes starts fro rest and accelerates uniformly at 1.5 m/s2. Determine the momentum after moving 400 m.

Answer 1

The momentum after moving 400 m is 13856406.46 kg. m/s.

Explanation:

The mass of the train, m = 400 tonnes = 400000 kg.

The acceleration, a = 1.5 m/s^2.

The distance traveled by the train d = 400 m.

We have to calculate final velocity,  use third equation of motion as,

$v^2=u^2+2ad$

substitute the given values, we get

$v^2=0+2\times1.5m/s^2\times400m$

$v=\sqrt{1200}$

  = 34.64 m/s

Now the momentum is given as

P = mv

so,

P = 400000 kg x 34.64 m/s

  = 13856406.46 kg. m/s

Thus, the momentum after moving 400 m is 13856406.46 kg. m/s.

#Learn More: Momentum.

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