Question

An online video daredevil 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 daredevil's mass is 80.0 kg, the vine is 12.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 8.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking

Answer 1

`1277.867\ \text{N}`

Step-by-step explanation:

m = Mass of person = 80 kg

r = Radius of swing = 12 m

g = Acceleration due to gravity =
`9.81\ \text{m/s}^2`

The tension in the rope would be

`T=mg+(mv^2)/(r)\\\Rightarrow T=80* 9.81+(80* 8.6^2)/(12)\\\Rightarrow T=1277.867\ \text{N}`

The tension in the rope is
`1277.867\ \text{N}`.