Physics
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A monkey runs towards a 12.0 m long vine that hangs from a tree at a speed of 4.0 m/s. Upon reaching the vine, it grabs hold and swings on it. It then releases the vine as soon as the vine comes to a stop. Given that the mass of the monkey is 46 kg, evaluate at what angle Φ with the vertical it releases the vine.
A 70-kg urban explorer runs at a speed of 6.0 m/s on the roof of a building and grabs a 12.0-m-long rope hanging from a crane to swing to an adjacent building. At the highest point of their swing, their speed is zero, and the rope forms a 45-degree angle with the vertical. Calculate the maximum tension in the rope during this urban stunt.