An automobile of mass 1500 kg moving at 25.0 m/s collides with atruck of mass 45

Question

An automobile of mass 1500 kg moving at 25.0 m/s collides with atruck of mass 4500 kg at rest. The bumpers of the two vehicles locktogether during the crash.
a. compare the force exerted by the car on the truck with thatexerted by the truck on the car during the collision. Is one forcelarger than the other or are they equal in magnitude?
b. What is the final velocity of that car and truck just afterthe collision? Show your calculations.
a. compare the force exerted by the car on the truck with thatexerted by the truck on the car during the collision. Is one forcelarger than the other or are they equal in magnitude?
b. What is the final velocity of that car and truck just afterthe collision? Show your calculations.

Explanation / Answer

a. compare the force exerted by the caron the truck with that exerted by the truck on the car during thecollision. Is one force larger than the other or are they equal inmagnitude?

Action equal to reaction. Both forces are the same in magnitude butapposit in direction.


b. What is the final velocity of that car andtruck just after the collision? Show yourcalculations. Momentum is conserved but not kinetic energy Conservation of momentum is expressed as: m1u1 + m2u2 =(m1 + m2)V V= (m1u1 + m2u2)/(m1+m2) and since u1 is apposite to u2 (but u2=0) V= (m1u1 -m2u2 )/(m1+m2) V= ( 1500 x 25.0   - 4500 x 0 ) / ( 1500 + 4500) V= 6.25 m/s

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