wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Ball 1 of mass m moving at a speed v makes a head-on collision with an identical ball 2 at rest. The kinetic energy of the balls after the collision is 34th of original. If e is the coefficient of restitution and v1,v2 are the velocities of the balls after collision, then:

A
v1=1122v
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
v2=1+122v
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
e=12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
e=12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C e=12
For inelastic collision where ball 2 is at rest initially,
v1=(1e2)v
and v2=(1+e2)×v

Given, KEf=34×KEi
34(12mv2)=12m{(1e2)v}2+12m{(1+e2)v}2

34=(1e)24+(1+e)24
e=12
v1=(1122)v
and v2=(1+122)v

Hence, options (a), (b) and (c) are correct.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Falling Balls in Disguise
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon