15. A large slide at an amusement park is shown below. Children ride down the slide on magic carpets that are designed to limit friction. Assume no friction, A child with a mass of 32 kg starts from rest at the top of the slide (position A) and then slides down to positions B, C and D (ending at the ground). (A) 16.0 m to ground (C) 65 m to ground 16.0 m (D) ground level a. Calculate the amount of energy he has at position , relative to the ground, before the ride begins. [1-2] b. Based on the law of conservation of energy, how much energy will the child have at any positing during the ride down? [1-11 C. The child has 4500 J of gravitational potential energy at position B. Calculate how high above the ground the slide is at this position. [1-3] d. Given that the child has 4500 J of gravitational potential energy at position B. refer to your answer for question (c ) and explain why this does or does not violate the Law of Conservation of Energy. [C-3]