A bullet of mass M1 is fired horizontally with a speed V intoa bob of ballistic

Question

A bullet of mass M1 is fired horizontally with a speed V intoa bob of ballistic pendulum of mass M2. Find the maximumheight H attained by the bob if the bullet passes through the boband emerges with a speed of V/3. Help please this is also question 67 out of chapter 8 A bullet of mass M1 is fired horizontally with a speed V intoa bob of ballistic pendulum of mass M2. Find the maximumheight H attained by the bob if the bullet passes through the boband emerges with a speed of V/3. Help please this is also question 67 out of chapter 8

Explanation / Answer

Total energy before collion = total energy aftercollision ( 1/ 2) M1* V ^ 2 = ( 1/ 2) M1* ( V / 3 ) ^ 2 + M2* g * H ( 1/ 2) M1 * [ V ^ 2 -( V ^ 2 / 9 ) ] = M2 *gH ( 8 / 18 ) M1 * V ^ 2 = M2 * gH   ( 1/ 9 ) M1 * V ^ 2 = M2 * gH from this maximum height attained by the bob H = ( 1/ 9) ( M1 / M2) ( V ^ 2 / g )      

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