16.7k views
4 votes
A train has a mass of 2.6 x 10° kg. It is moving at 11.63 m/s. How fast would

a car with a mass of 4.7 x 10³ kg have to travel in order to have the same
momentum as the train?

User Zeimyth
by
7.2k points

1 Answer

3 votes

Answer:

Momentum of train = mass of train x velocity of train

Momentum of train = (2.6 x 10^5 kg) x (11.63 m/s)

Momentum of train = 3.022 x 10^6 kg·m/s

To find the velocity of the car that would have the same momentum as the train, we can rearrange the formula to:

Velocity of car = Momentum of train / Mass of car

Velocity of car = (3.022 x 10^6 kg·m/s) / (4.7 x 10^3 kg)

Velocity of car = 642.98 m/s

Therefore, the car would have to travel at a speed of approximately 643 m/s or 1,438 mph (miles per hour) to have the same momentum as the train.

User Wong Jia Hau
by
7.9k points

Related questions

asked Dec 7, 2017 35.9k views
Filo Stacks asked Dec 7, 2017
by Filo Stacks
8.5k points
1 answer
5 votes
35.9k views
2 answers
4 votes
196k views