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

A ball of mass m strikes the fixed inclined plane after falling through a height h. If it rebounds elastically, the impulse imparted on the ball is

A
2m2ghcosθ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2mghcosθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2m2ghsinθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2m2gh
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 2m2ghcosθ
Speed of ball just before the collision u=2gh
Collision is elastic hence, e=1
e=(Velocity of seperationVelocity of approach)along line of impact


e=vucosθ
v=eucosθ=ucosθ e=1

Here, v is the velocity component of ball just after collision along line of impact.
Impulse J=ΔP=mv(m ucos θ)
ΔP=mucosθ+mucosθ
J=ΔP=2mcosθ2gh

flag
Suggest Corrections
thumbs-up
14
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon