Questions

A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass. After collision the I^{st} mass moves with velocity $\frac{\mathrm{v}}{\sqrt{3}}$ in a direction perpendicular to the initial direction of motion. Find the speed of the 2^{nd} mass after collision

60 mins Expert Faculty Ask Questions

a

23v

b

v3

c

v

d

3 v

detailed solution

Correct option is A

Let mass A moves with velocity v and collides inelastically with mass B, which is at rest. According to problem mass A moves in a perpendicular direction and let the mass B moves at angle θ with the horizontal with velocity v. Initial horizontal momentum of system(before collision) = mv ....(i)Final horizontal momentum of system (after collision) = mV cosθ ....(ii)From the conservation of horizontal linear momentum mv = mV cosθ ⇒ v = V cosθ ...(iii)Initial vertical momentum of system (before collision) is zero.Final vertical momentum of system mv3−mVsinθFrom the conservation of vertical linear momentum mv3−mVsinθ=0⇒v3=Vsinθ ...(iv)By solving (iii) and (iv) v2+v23=V2(sin2θ+cos2θ)⇒4v23=V2 ⇒V=23v

Talk to our academic expert!

Create Your Own Test

Your Topic, Your Difficulty, Your Pace

Similar Questions

A sphere collides with another sphere of identical mass. After collision, the two spheres move. The collision is inelastic. Then the angle between the directions of the two spheres is

799 666 8865

support@infinitylearn.com

6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.

JEE

JEE Mock Tests

JEE study guide

JEE Revision Notes

JEE Important Questions

JEE Sample Papers

JEE Previous Year's Papers

NEET

NEET previous year’s papers

NEET important questions

NEET sample papers

NEET revision notes

NEET study guide

NEET mock tests

Popular Books

HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions

Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions