2) Recall the impulse-momentum theorem Assume that two different cars collide wi

Question

2) Recall the impulse-momentum theorem Assume that two different cars collide with a brick wall and suffer the sameAp. The airbag deploys in one car and fails to deploy in the other. Why (in terms of F and t in the above equation) does the driver of one car sustain less injury than the other? 3) Considering both elastic and inelastic collisions, does the momentum after a collision always equal the momentum before the collision? 4) Considering both elastic and inelastic collisions, does the kinetic energy after a collision always equal the kinetic energy before the collision?

Explanation / Answer

1) Due to inflation of airbag the impulse will be averaged over longer time. Hence, avg. force experienced by the car with inflated bag will experience lesser avg. force as compared to car with non inflatd bag.

2) Yes, moentum for elastic and inelstic collisions both are conserved. Since, the net force experienced by the system is zero. Hence, the momentum is conserved.

3) In case of elastic collision KE before collision is equal to the KE after collision.

But in case of KE is not equal.

4) As the cars will be moving in opposite direction. Hence, the momentum before the coliision = zero

So, by momentum conservation Momentum after collision will also be zero.

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