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Car wreck

publish date2023/06/20 06:43:00 GMT+10

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Consider a wreck in which a car runs into the back of a stationary truck.  Before the collision, the car has momentum forward.  We will suppose that the car and truck stick together after the crash.

The law of conservation of momentum tells us what the momentum of the wreckage will be.

  1. What will it be equal to? (1) transparent
  2. What values would we need to know to calculate the velocity of the wreckage after impact? (2) transparent
Please drag and drop the selected option in the right place or type it instead
the momentum of the car before collision
the momentum of the car after collision
masses of car and truck, and pre-wreck velocity of the car
masses of car and truck, and pre-wreck velocity of the truck

Correct Answer

(1) the momentum of the car before collision
(2) masses of car and truck, and pre-wreck velocity of the car

Explanation

Friction and the earth

We have thus far neglected to mention the effect of friction.  We spoke of the momentum of cars and trucks immediately before and after collisions, for example, but said nothing of the fact that after a wreck the wreckage would slide to a stop.  What happens to the momentum of the wreckage?  The answer is that the momentum is transferred to the earth.  The earth spins a little faster (or slower, depending upon whether the motion was eastward or not).  it may at first glance seem hard to believe that an object as small as a truck can affect the speed of the earth, but one must remember that we are not saying that the effect would be great enough to measure.  Since the mass of the earth is so tremendous, its change in speed would be very, very small.  Undetectable-but not non-existent.

Consider a recoiling gun when it hits the shooter's shoulder.  The system is not isolated, because it includes the entire earth.  Is the change in momentum of the shooter detectable?  Perhaps (he may fall over backward).  if the shooter is ready, however, he braces against the expected impulse, and the momentum is transferred to the earth.

Reference

Basic Physics: A Self-Teaching Guide


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