Q. 583.8( 4 Votes )

# The blocks shown

Answer :

Given that B has a friction coefficient of 0.10 with the floor.

Both the blocks have equal mass m.

Block A is moving at a speed of 10 m/s (u_{1}=10 m/s) towards B which is kept at rest (u_{2}=0 m/s).

Let v_{1} and v_{2} are velocities of block A and B after collision.

{a} If the collision is perfectly elastic

According to conservation of momentum

_________ (1)

Again,

__________ (2)

Subtracting equation (2) from (1)

The deceleration of B is

Putting work energy principle

Where h is the distance travelled by B

{b} If the collision is perfectly inelastic

Let the final velocity of both the blocks A and B is v.

Then, according to law of conservation of momentum

The two blocks will move together sticking to each other.

Therefore, putting work energy principle

Where s is the distance travelled by B.

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