Momentum and CollisionHard
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
In an orbital motion, the angular momentum vector is :...A uniform bar of length 12 cm and mass $20m$ lies on a smooth horizontal table. Two point masses m and $2m$ are moving i...Two solid spheres A and B of equal volumes but of different densities dA and dB are conected by a string. They are fully...There are two identical small holes of area of cross-section ′A′ on the opposite sides of a tank containing ...A tank of height 5 m is full of water. There is a hole of cross sectional area 1 cm2 in its bottom. The initial volume o...