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A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle 026° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches h, 10 m above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (9.80665 m/s2). Ignore friction and air resistance. (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees

A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle 026° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches h, 10 m above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (9.80665 m/s2). Ignore friction and air resistance. (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees

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A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle = 26° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches hi above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (g-9.80665 m/s2). Ignore friction and air resistance. <=10m (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees
Transcribed Image Text:A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle = 26° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches hi above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (g-9.80665 m/s2). Ignore friction and air resistance. <=10m (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees
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