Question

What velocity must a 1210 kg car have in order to have the same momentum as a pickup truck
of mass 2250 kg and a velocity of 25 m/s?

Answer 1

Answer: 46.5 m/s

Explanation:

Momentum = mass(m) × velocity (v)

momentum of car = momentum of truck

1210 × v = 2250 × 25

v = 46.5 m/s

Answer 2

The velocity of the car must be 46.48 m/s.

Linear Momentum:

The linear momentum of a body is defined as the product of its mass and its velocity, given by

P = mv

According to the question, the momentum of the truck is :

$P_T=2250\times25\;kgm/s\\\\P_T=56250\;kgm/s$

Now, the momentum of the car and the truck must be same, that is:

$P_C=P_T\\\\1210\times v=56250\;kgm/s\\\\v=\frac{56250}{1210}\\\\v=46.48\;m/s$

So the velocity of the car is 46.48 m/s.

Learn more about linear momentum:

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