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

A ball is dropped from a height of 1 m. if coefficient of restitution between the surface and the ball is 0.6, the ball rebounds to a height of

A
0.6 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.4 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0.31 m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 0.31 m
Coeeficient of Restitution (COR) is the ratio of the final to initial relative velocity between two objects after they colloid.
COR(e)=RelativevelocityaftercollisionRelativevelocitybeforecollision(i)
A/Q Height(s)=1m,e=0.6
Velocity just before ball touches the ground can be found with newtons law of motions
v2=u2+2as
We have u=0 So, V=2gsv=2g(ii)
Now, from (i)
e=VafterVbeforeVafter=2×Vbefore(iii)
Now, rebounded height can again be calculate with equation of motions
v2=u2+2as
Now, u=vafter=ev;v=0;a=g;s=?s=u22as=(ev)22gs=e22g2gs=e2s=0.36

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Realistic Collisions
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon