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A truck is accelerating as it speeds down the highway. Oneinertial frame of reference is attached to the ground with its originat a fence post. A second frame of reference is attached to a policecar that is traveling down the highway at constant velocity. Is themomentum of the truck the same in these two reference frames?Explain. Is the rate of change of the truck’s momentum the samein these two frames? Explain.

Short Answer

Expert verified

The momentum of the truck is different in both the reference frames.

The rate of change of the truck’s momentum is the same in both frames.

Step by step solution

01

 Momentum of a particle and Newton’s Second Law.

The momentump→of a particle is a vector quantity equal to the product of

the particle’s mass mand velocityv→ .

p→=mv→

Newton’ssecond law says that the net force on a particleis equal to the rate of change of the particle’s momentum.

∑F→=dp→dt

02

Discussion.

The momentum of thetruck depends on the velocity since the relative velocity of the truck is different in both the frames, therefore the momentum of the truck is different in both the reference frames.

Since both, the reference frames are not accelerated, so the truck is constantly accelerating in both the reference frames. Therefore, the net force on the truck is the same in both frames. So according to Newton’s Second law rate of change of the truck’s momentum is the same in both the frames.

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