A ball of mass m rolls alon a flat surface with a speedof v1 .It strikes a padde

Question

A ball of mass m rolls alon a flat surface with a speedof v1 .It strikes a padded wall and bounces back inthe opposite direction.The enrgy of the ball afterstriking the wall is half its initial energy . Ignoring frictionwhich of of the following expressions gives the balls newspeed as a function of its initial speed? (1) 0.5  v1            (2) 1.41   v1 (2) 0.707 v1          (3)2    v1 A ball of mass m rolls alon a flat surface with a speedof v1 .It strikes a padded wall and bounces back inthe opposite direction.The enrgy of the ball afterstriking the wall is half its initial energy . Ignoring frictionwhich of of the following expressions gives the balls newspeed as a function of its initial speed? (1) 0.5  v1            (2) 1.41   v1 (2) 0.707 v1          (3)2    v1

Explanation / Answer

Applying the law of conservation of energy we have as, Initial KE=KE1+KE2 KE=KE1+(KE/2) KE1=KE/2 1/2*mv2=1/2*(1/2*mv12) v=v1/2 v=0.707v1 Hence we get by it.

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