Mechanics from ATGS (for beginners)

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2 balls are present each of mass m and radius R

one is at rest and other moving with a velocity v but the direction of velocity vector does not pass through the centre of the ball at rest...

anyways...

still the 2 balls underg collision...

and no energy loss takes place due to the collision

then prove that the new velocity vectors of the 2 balls make an angle equal to 90Â° wth one another...

i hope the language of the question is clear!!

#Physics #Mechanics

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Euclid ·2010-09-09 17:57:14

this is always true for elastic oblique collisions...

the velocities of the balls along the common normal dirⁿ get exchanged and hence the 1st ball comes to rest in this dirⁿ (retaining its velocity component along the tangential dirⁿ) while the other ball acquires the normal velocity..... hence they move perpendicularly......

Mathematically it can be proved by writing any two of momemntum conservation (along normal), KE conservation and coeff. of restitution...

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Mechanics from ATGS (for beginners)

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