Prove(Collision)

prove that...
If a ball of mass m collides with another stationary ball of mass M then the maximum angle of deviation of the ball of mass m is sin-1M/m

...from post (http://targetiit.com/iit_jee_forum/posts/balls_in_a_semi_circle_3624.html )

10 Answers

66
kaymant ·

an additional constraint is required: the stationary one has to be lighter and the collision must be perfectly elastic.

33
Abhishek Priyam ·

oh yes forgot to mention that.. sorry :)

62
Lokesh Verma ·

Prove everyone!

106
Asish Mahapatra ·

33
Abhishek Priyam ·

cool!!

now what if M>m? does some angle of max deviation exist?
This is much more easier than for M<m..
above question was not Phy... but M>m is physics ;)

9
Celestine preetham ·

if M>m

of course angle of max deviation is 180

eg a light ball rebounding on a heavy ball

66
kaymant ·

This problem has been done... however, it is said that a problem has more than one solution. In this case, there are at least two more ways to solve the problem. Can you guys try?

1
varun.tinkle ·

let me try my brainz
proceeding as ashish... we kbnow v1 and the cmponents
so resultant vel v is vnormal2+valong2
we kknow v normal as v1sin@ and v along as 2m/m+M vcos@

now sin@1=reultant vel v/initial vel v

for maximum value we hv to differentiate it is this correct kaymant sir

66
kaymant ·

Some more try?

1
akari ·

well today i saw the proof of this lemma
they proved it superbly (but i will prefer asish's way )

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