A very heavy SUV collides head-on with a very lightcompact car. Which of these statements about the collision arecorrect?

(a) The amount of kinetic energy lost by the SUV is equalto the amount of kinetic energy gained by the compact;

(b) theamount of momentum lost by the SUV is equal to the amount of

The momentum gained by the compact.

(c) The compact feels a considerably greater force during the collision than the SUV does;

(d) both cars lose the same amount of kinetic energy.

Short Answer

Expert verified

(a) Correct

(b) Correct

(c) Not correct

(d) Not correct.

Step by step solution

01

Collisions of objects.

In collisionsthe initial and final total momenta are equal.

In an elasticcollision, the initial and final total kinetic energies are also equal, andthe initial and final relative velocities have the same magnitude.

In an inelastic collision the total kinetic energy is less after the collision than before and if the two bodieshave the same final velocity, the collision is completely inelastic.

02

Discussion for part (a)

Considering the collision is elastic since in an elastic collision between two bodies the initial and final kinetic are equal therefore the amount of kinetic energy lost by SUB is equal to the amount of energy gained by the compact car.

03

Discussion for part (b)

Since in collision initial and final momentum are equal therefore the amount of momentum lost by SUB is equal to the amount of momentum gained by the compact car.

04

Discussion for part (c)

Since every action has an equal and opposite reaction therefore the SUV and car bothfeel an equal amount of force.

05

Discussion for part (d)

Considering the collision is elastic since in an elastic collision between two bodies the initial and final kinetic are equal therefore the amount of kinetic energy lost by SUB is equal to the amount of energy gained by the compact car. So, both cars cannot lose the same amount of kinetic energy,

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