A movie stunt performer is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The stunt performer's mass is 82.0 kg, the vine is 12.0 m long, and the speed of the stunt performer at the bottom of the swing has been determined to be 9.00 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?

Explanation:

The vine experiments a centripetal acceleration while swinging (the stuntsman experiments a centrifugal acceleration), whose most critical point occurs at the bottom and can be described by the Newton's Laws:

The minimum tension force that the vine must be able to support without breaking is:

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