A child takes a ball and places it at the top of a slide, at an initial height.

Question

A child takes a ball and places it at the top of a slide, at an initial height. The ball starts from rest, rolls without slipping down the slide and flies off the end into the air, with an initial angle of 32degree. Ignore loss to friction and air resistance. Which statements are true throughout the ball's motion? Angular momentum of the ball must be conserved. Linear momentum of the ball must be conserved. Mechanical energy of the ball must be conserved. The ball will keep traveling upward until it reaches its initial height. The ball will travel up to a maximum height less than its initial height. I, II, III and V only III and V only I, II and IV only II and V only II and IV only I, II, III and IV only I and IV only III and IV only II, III and V only I and V only

Explanation / Answer

Option I: False --Angular momentum is not conserved because external                            net torque (gravitational) is present Option II: False -- Linear momentum is not conserved because external                              net force (gravitational) is present. Option III: True -- Follows law of conservation of energy Option IV: False -- Since the angle of flight is different from original                                  angle of slide Option V: True --Since the angle of flight is different from original                                  angle of slide Ans: Choice 2: III and V only                                  angle of slide Ans: Choice 2: III and V only

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