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 90.0 kg, the vine is 11.5 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.40 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?

Answer 1

`T =1310.58\ N`

Step-by-step explanation:

given,

mass of the daredevil = 90 kg

length of the vine = 11.5 m

speed of the daredevil at the bottom of swing = 7.40 m/s

tension on the wire = ?

`T = mg + (mv^2)/(r)`

`T = m(g+ (v^2)/(r))`

`T = 90(9.8+ (7.4^2)/(11.5))`

`T = 90(9.8+ 4.762)`

`T = 90 x\14.562`

`T =1310.58\ N`

hence, tension on the swing will be equal to 1310.58 N