Question

A car with mass M_C = 1.44 x 10³ kg runs into the back of a truck with mass M_T = 3.19 x 10³ kg that is initially at rest. Immediately after the collision, the car is moving with a speed of 1.04 m/s and the truck is moving with a speed of 2.53 m/s, both in the direction the car was initially traveling.

What is the total kinetic energy lost in the collision? (Of course, the change in energy is negative but give your answer as a positive number, the magnitude of the change in energy.)

Give your answer in Joules to at least three significant digits to avoid being counted incorrect due to rounding. Canvas does not accept answers in scientific notation (at least the last time I checked, a typical Canvas failure) so don't try.

Answer 1

First find initial velocity of car.

During collision momentum is conserved

Initial momentum =Final momentum

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Kinetic energy lost in collision = Initial kinetic energy - final kinetic energy

Initial kinetic energy,

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Final kinetic energy,

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ANSWER:

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