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Marzan has a mass of 80kg. He wants to use a vine of length 10m to swing across a river in the Sundarbans. Marzan finds that he can only achieve a maximum speed of 10m/s at the bottom of the swing. If he tries to use the vine to swing any faster, the vine breaks when he reaches the bottom of the swing. 10m (a) Find the maximum tension that the vine can sustain before breaking. (b) Marzan's pet rhesus monkey can use this same vine to achieve a maximum speed of 50m/s at the bottom of the swing across the river. Use your answer from (a) to help determine the mass of the monkey. (c) Suppose that Marzan reaches a speed of 5m/s when he reaches the lowest point of his swing, and lets go of the vine immediately. Nevertheless, Marzan is still just able to drop at the edge of the bank. The vertical distance from the top of the vine to the level of the bank is 15m. Find the horizontal distance between the top of the vine and the bank.

Marzan has a mass of 80kg. He wants to use a vine of length 10m to swing across a river in the Sundarbans. Marzan finds that he can only achieve a maximum speed of 10m/s at the bottom of the swing. If he tries to use the vine to swing any faster, the vine breaks when he reaches the bottom of the swing. 10m (a) Find the maximum tension that the vine can sustain before breaking. (b) Marzan's pet rhesus monkey can use this same vine to achieve a maximum speed of 50m/s at the bottom of the swing across the river. Use your answer from (a) to help determine the mass of the monkey. (c) Suppose that Marzan reaches a speed of 5m/s when he reaches the lowest point of his swing, and lets go of the vine immediately. Nevertheless, Marzan is still just able to drop at the edge of the bank. The vertical distance from the top of the vine to the level of the bank is 15m. Find the horizontal distance between the top of the vine and the bank.

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Marzan has a mass of 80kg. He wants to use a vine of length 10m to swing across a river in the Sundarbans. Marzan finds that he can only achieve a maximum speed of 10m/s at the bottom of the swing. If he tries to use the vine to swing any faster, the vine breaks when he reaches the bottom of the swing. 10m (a) Find the maximum tension that the vine can sustain before breaking. (b) Marzan's pet rhesus monkey can use this same vine to achieve a maximum speed of 50m/s at the bottom of the swing across the river. Use your answer from (a) to help determine the mass of the monkey. (c) Suppose that Marzan reaches a speed of 5m/s when he reaches the lowest point of his swing, and lets go of the vine immediately. Nevertheless, Marzan is still just able to drop at the edge of the bank. The vertical distance from the top of the vine to the level of the bank is 15m. Find the horizontal distance between the top of the vine and the bank.
Transcribed Image Text:Marzan has a mass of 80kg. He wants to use a vine of length 10m to swing across a river in the Sundarbans. Marzan finds that he can only achieve a maximum speed of 10m/s at the bottom of the swing. If he tries to use the vine to swing any faster, the vine breaks when he reaches the bottom of the swing. 10m (a) Find the maximum tension that the vine can sustain before breaking. (b) Marzan's pet rhesus monkey can use this same vine to achieve a maximum speed of 50m/s at the bottom of the swing across the river. Use your answer from (a) to help determine the mass of the monkey. (c) Suppose that Marzan reaches a speed of 5m/s when he reaches the lowest point of his swing, and lets go of the vine immediately. Nevertheless, Marzan is still just able to drop at the edge of the bank. The vertical distance from the top of the vine to the level of the bank is 15m. Find the horizontal distance between the top of the vine and the bank.
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