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36. 37. A stretched elastic band of mass 0.55 g is released so that its initial velocity is horizontal, and its initial position is 95

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36. 37. A stretched elastic band of mass 0.55 g is released so that its initial velocity is horizontal, and its initial position is 95 cm above the floor. What was the elastic potential energy stored in the stretched band if, when it lands, it has a horizontal displacement of 3.7 n1 from the initial position under negligible air resistance? A skier swoops down a hill and over a ramp as in Figure 5. She starts from rest at a height of 16 m, leaves the 9.0-m ramp at an angle of 45, and just clears the hedge on her way down, making an angle of 30 with the vertical as she does. Assuming that there is no friction, and that she is small compared to the dimensions of the problem, solve for H, the height of the hedge in metres. 38. An athlete throws a basketball through a hoop as in Figure 6. The ball leaves his hands at a height of 2.5 m with a speed of 9.0 mls. Calculate the speed of the ball when it \"swishes\" through the hoop. The hoop is at a height of 3.0 m and it is 5.0 m along the court from the basketball player. 39. A space shuttle lands on a distant planet where the gravitational acceleration is 2.0. (We don't know the local units of length and time, but they are consistent throughout this problem.) The shuttle coasts along a level, frictionless plane (Figure 7) with a speed of 6.0 (position 1). It then coasts up a frictionless ramp of height 5.0 and angle 30" (position 2). After a brief ballistic ight, it lands a distance 8 from the ramp (position 3). Solve for S in local units of length. Assume the shuttle is small compared to the local length unit and that all atmospheric eects are negligible. (2) ___, 32%?\" \"N\" Tup m }50 (a)

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