Momentum and CollisionMedium
Question
Object A strikes stationary object B with given speed u head-on in an elastic collision. The mass of A is fixed; you may only choose the mass of B appropriately for following cases. Then after collision:
Options
A.For B to have the greater speed, choose mB = mA
B.For B to have the greater momentum, choose mB << mA
C.For B to have the greater speed choose mB << mA
D.For the maximum fraction of kinetic energy transfer, choose mB = mA
Solution
mAu = mAuA + mBvB and e = 1 = 
⇒ vB = 
For mA >> mB , vB = 2u
For mA = mB, vB = u
For mA << mB, vB = 0
kinetic energy KB =
mBvB2 = 
⇒ vB = For mA >> mB , vB = 2u
For mA = mB, vB = u
For mA << mB, vB = 0
kinetic energy KB =
mBvB2 = Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
Two masses A and Of mass M and 2M respectively are connected by a compressed ideal spring. The system is placed on a hor...In the diagram shown all three rods are of equal length L and equal mass M. The system is rotated such that rod B is the...Consider the following two statements. (1) Linear momentum of a system of particles is zero. (2) Kinetic energy of syste...A 10 kg wagon is pushed with a force of 7N for 1.5 second, then with a force of 5 N for 1.7 seconds, and then with a for...A canon shell moving along a straight line bursts into two parts. One part moves with momentum 20 N-s making an angle 30...