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

Two small identical spheres each of mass m are projected slant-wise from the points A and B on the ground with equal velocities u and making same angles θ and θ as shown in the figure. They collide with each other at the highest point C of the common path. If the collision is completely inelastic, how much time after the collision the particles come back to the ground?
3697.png

A
4usinθg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3usinθg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2usinθg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
usinθg
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D usinθg
At the highest point, the velocity of the masses will only be horizontal and will be equal to ucosθ.

After the masses stick together, the common velocity will be given as

v=mucosθmucosθm+m=0

So the body will be in free fall starting from rest.

For the vertical motion:
12gt2=Hmax=u2sin2θ2g

Solving this, we get t=usinθg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving n Dimensional Problems
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon