A large truck with a mass of 6000·kg and going 25·m/s east collides with a car w

Question

A large truck with a mass of 6000·kg and going 25·m/s east collides with a car whose mass is 1500·kg and which is at rest. If the impulse exerted on the car by the truck is 14000·N·s east, find the impulse exerted by the car on the truck. Take east as the postive direction. N·s Which of the following statements describes the changes of momentum due to the collision? Choose one answer only. car's and truck's momentums change by the same amount truck's momentum changes more than the car's momentum car's momentum changes more than the truck's momentum Which of the following statements describes the changes of velocity due to the collision? Choose one answer only. truck's velocity changes more than the car's velocity car's and truck's velocities change by the same amount car's velocity changes more than the truck's velocity

Explanation / Answer

mass= 6000·kg

velocity=25·m/s

mass = 1500·kg

impulse= 14000·N·s

We know that the impulse has the same units as momentum. From the law of conservation of momentum (linear), we can write:

Itruck + Icar(initial) = [Itruck + Icar](final)
(6,000kg)(25m/s) + 0 = [I(truck)](f) + 14,000Ns
150,000Ns = [I(truck)](f) + 14,000Ns
[I(truck)](f) = 136,000Ns

I am writing your options here and numbering.

1.truck's momentum changes more than the car's momentum

2.car's and truck's momentums change by the same amount

3 car's momentum changes more than the truck's momentum

4.truck's velocity changes more than the car's velocity

5.car's and truck's velocities change by the same amount

6.car's velocity changes more than the truck's velocity

The law is a conservation law, so the change in momentum is the same for both vehicles, and the car's velocity changes more than the trucks.

So select 3 and 6.It looks as though you left out a number for "car's momentum changes more than the trucks momentum"

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