A $$4kg$$ ball moving at $$48$$ ms−$$1$$ undergoes inelastic $$head-on$$ collision with an $$8kg$$ ball moving in the opposite direction at $$96$$ ms−$$1$$. If the coefficient of restitution is $$23$$, their velocities in ms−$$1$$ after impact are

Question

A $$4kg$$ ball moving at $$48$$ ms−$$1$$     undergoes inelastic $$head-on$$ collision with an $$8kg$$     ball moving in the opposite direction at $$96$$ ms−$$1$$.     If the coefficient of restitution is $$23$$,     their velocities in ms−$$1$$     after impact are

Infinity Learn · Accepted Answer

$$4$$×$$48$$−$$8$$×$$96=4$$×$$v1+8v2$$       $$192$$−$$768=4v1+8v2$$     $$4v1+8v2=$$−$$576$$     $$-----(1)23=v2$$−$$v1u1+u2$$⇒$$23=v2$$−$$v148+96$$     $$v2$$−$$v1=23$$×$$144=96$$     $$-----(2)Solving$$  (1) and $$(2)v1+2v2=$$−$$144$$     −$$v1+v2=96$$     $$3v2=$$−$$48$$     $$v2=$$−$$16m/s$$      $$v1=$$−$$112m/s$$

A 4kg ball moving at $48 m s^{- 1}$ undergoes inelastic head-on collision with an $8 k g$ ball moving in the opposite direction at $96 m s^{- 1} .$ If the coefficient of restitution is $\frac{2}{3},$ their velocities in $m s^{- 1}$ after impact are

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A 4kg ball moving at 48 ms−1 undergoes inelastic head-on collision with an 8kg ball moving in the opposite direction at 96 ms−1. If the coefficient of restitution is 23, their velocities in ms−1 after impact are

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A 4kg ball moving at $48 m s^{- 1}$ undergoes inelastic head-on collision with an $8 k g$ ball moving in the opposite direction at $96 m s^{- 1} .$ If the coefficient of restitution is $\frac{2}{3},$ their velocities in $m s^{- 1}$ after impact are