Solve: A smooth sphere A,of mass 2kg and moving with speed 6ms^(−1) collides obliquely with a smooth sphere B of mass 4kg. just before the impact B is stationary and the velocity of A makes an angle of 10° with the lines of centers of the two sphere. The coefficient of restitution between the spheres is (1/2). Find the magnitude and directions of the velovities of A and B immediately after the impact.


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Question Number 200738 by Calculusboy last updated on 22/Nov/23

$S o l v e : A s m o o t h s p h e r e A, o f m a s s 2 k g a n d$ $m o v i n g w i t h s p e e d 6 {m s}^{- 1} c o l l i d e s o b l i q u e l y$ $w i t h a s m o o t h s p h e r e B o f m a s s 4 k g . j u s t b e f o r e t h e i m p a c t B i s$ $s t a t i o n a r y a n d t h e v e l o c i t y o f A m a k e s$ $a n a n g l e o f 10 ° w i t h t h e l i n e s o f c e n t e r s o f t h e t w o s p h e r e .$ $T h e c o e f f i c i e n t o f r e s t i t u t i o n b e t w e e n t h e$ $s p h e r e s i s \frac{1}{2} . F i n d t h e m a g n i t u d e a n d$ $d i r e c t i o n s o f t h e v e l o v i t i e s o f A a n d B$ $i m m e d i a t e l y a f t e r t h e i m p a c t .$
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