You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Collision Example II

A small ball ...

Question

A small ball is projected horizontally between two large blocks. The ball is given a velocity $V m s^{- 1}$ and each of the large blocks move uniformly with a velocity of $2 V m s^{- 1}$ . The ball collides elastically with the blocks. If the velocity of the blocks do not change due to the collision, then find out the velocity of the ball after the $2^{n d}$ collision.:

5 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 V

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $9 V$
The coefficient of restitution for elastic collision,

$e = 1$ for the elastic collision.

The velocity of the ball after 1st collision

$v_{2} - v_{1} = u_{1} - u_{2}$ . . . . . .(1)

$x - 2 V = 2 V + V$

$x = 5 V$

The velocity of the ball after the 2nd collision,
from equation,

$y - 2 V = 2 V + 5 V$

$Y = 9 V$

Thus, the correct option is C.

Suggest Corrections

Similar questions

A small ball is projected horizontally between two large blocks. The ball is given a velocity $V$ m/s and each of the large blocks move uniformly with a velocity of $2 V$ m/s. The ball collides elastically with the blocks. If the velocity of the blocks do not change due to the collision, then find out the velocity of the ball after the $2^{n d}$ collision.

Q. A ball of mass

m

falls vertically from a height

h

and collides with a block of equal mass

m

moving horizontally with a velocity

v

on a surface. The coefficient of kinetic friction between the block and the surface is

μ_{k} = 0.2

, while the coefficient of resittution (

e

) between the ball and the block is

0.5

. There is no friction acting between the ball and the block. The velocity of the block just after the collision decreases by

Q. A truck moving on horizontal road towards east with velocity

20 m s^{- 1}

collides elastically with a light ball moving with velocity

25 m s^{- 1}

along west. The velocity of the ball just after collision :

Two blocks $A$ and $B$ having the same mass collide elastically with each other. the velocity of block $A$ before the collision is $10 m/s$ . If block $A$ comes to rest after collision, then what was the velocity of block $B$ before the collision?

Q. A ball of mass

3 kg

is moving with velocity

1.5 m/s

towards a heavy block which is moving towards the ball with velocity

0.5 m/s

as shown in the figure. Assuming the collision to be elastic, the velocity of the ball immediately after the collision is :

Join BYJU'S Learning Program