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Two identical shopping trolleys, each 18 kg in mass, are pushed and then released at the same time from point A. (Do not try this at home!) One trolley goes on a flat road with initial speed vo, the other goes down into a storm drain with the same initial speed vo at point A. Assume that vo = 2.5 m/s, the angle of the slope 0 = 45.0°, and d (the distance between A and C) is 12.0 m. Eventually both trolleys pass through point D. Ignore the effects of friction and air resistance in this problem. Note that the view is from the side. L. d = 12 m 0 = 45° с B (a) (2 marks) Write down the initial momentum vectors of the two shopping trolleys. D (b) (4 marks) How much time does it take the second trolley to reach the bottom of the storm drain (A→B)? (c) (4 marks) What is the speed of the second trolley at the bottom of the storm drain? (d) (4 marks) What is the change in the kinetic energy of each trolley between points A and C (first trolley) and points A and B (second trolley)? (e) (4 marks) What is the change in the gravitational potential energy of each trolley between points A and C (first trolley) and points A and B (second trolley)? (f) (2 marks) Compare the work done by the Earth's gravity on the first trolley between points A and D to the work done by the Earth's gravity on the second trolley between A and D.