a solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r.The ratio of their speeds just after collision (e=0.5)is

Question

Amar Kumar · Answer

Let, density constant

so, mass directly proportional to r³

so , m₁ = 4/3 ∏r³ρ = m

m₂ = 4/3∏8r³ρ = 8m

now , momentum consurvation , mv = mv₁+8mv_{2 , v1 +8v2 = v}

0.5 = v₂ - v₁ / v , v2 - v1 = 0.5v

so, 9v2 = 1.5 v , v2 = 1.5v / 9

v1 = 1.5v/9 - 0.5v = - 3v /9

v1/v2 = magnitude ratio = 3v/1.5v = 2

Thanks Regards
Amar Kumar
AskIITians Faculty
M.tech, IIT Delhi

Raunaq Mehta · Answer

Let, density constantso, mass directly proportional to r3so , m1 = 4/3 ∏r3ρ = m m2 = 4/3∏8r3ρ = 8mnow , momentum consurvation , mv = mv1+8mv2 , v1 +8v2 = v 0.5 = v2 - v1 / v , v2 - v1 = 0.5v so, 9v2 = 1.5 v , v2 = 1.5v / 9 v1 = 1.5v/9 - 0.5v = - 3v /9v1/v2 = magnitude ratio = 3v/1.5v = 2

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

a solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r.The ratio of their speeds just after collision (e=0.5)is

a solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r.The ratio of their speeds just after collision (e=0.5)is

2 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Mechanics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship