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

A body of mass 5 kg is moving along the x-axis with a velocity 2 ms1. Another body of mass 10 kg is moving along the y-axis with a velocity 3 ms1. They collide at the origin and stick together. The final velocity of the combined mass is


A

3 ms1

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

(3+1) ms1

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

43 ms1

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

34 ms1

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

The correct option is C

43 ms1


Momentum of 5 kg mass, P1=5×2=10 kgms1 along the x-axis
Momentum of 10 kg mass, P2=103 kgms1 along the y-axis
These two momenta are perpendicular to each other. Therefore, the resultant initial momentum is
Pi=P21+P22=(10)2+(103)2=20 kgms1
If v is the velocity of the combined mass, then the final momentum, Pf=(10+5)v=15v. Now, from the principle of conservation of momentum, we have
15v=20v=43 ms1
Hence, the correct choice is (c).


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