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Angular Momentum

Figure shows ...

Question

Figure shows a block of mass projected with velocity $v_{0}$ towards a wedge. Consider all the surfaces to be smooth. Block does not have sufficient energy to negotiate (over come) wedge. Mark the correct opiton(s)

When block is at the maximum height wedge, block and wedge have velocity equals to velocity of center of mass of block wedge system

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Wedge acquires maximum speed with respect to ground when block returns to lowest point on wedge.

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Momentum of wedge and block is conserved at all times

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All of above

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Solution

The correct option is D All of above
$\begin{matrix} S i n c e a l l t h e s u r f a c e s a r e f r i c t i o n l e s s h e n c e n o e x t e r n a l f o r c e s a r e a c t i n g a l o n g h o r i z o n t a l o p t i o n A i s c o r r e c t . B e c a u s e w h e n b l o c k i s a t max i m u m h e i g h t b o t h w i l l m o v e w i t h s a m e s p e e d e q u a l t o t h e s p e e d o f c e n t r e o f m a s s d u e t o l a w o f c o n s e r v a t i o n o f m o m e n t u m . N o w, t h r o u g h w o r k e n e r g y t h e o r e m o p t i o n B i s c o r r e c t a n s w e r . A n d o p t i o n C i s a l s o c o r r e c t d u e t o c o n s e r v a t i o n o f m o m e n t u m . H e n c e, o p t i o n (A), (B), (C) a r e c o r r e c t a n s w e r . \end{matrix}$

Suggest Corrections

Similar questions

β

m_{1}

ν_{0}

m_{2}

= \frac{M}{2}

m_{1}

m_{2}

h

v_{0}

v_{0}

m = 50 kg

M = 200 kg

θ = 37^{\circ}

v_{r} = 20 m/s

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