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

Answer:

$T =1310.58\ N$

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 = ?

$T = mg + \dfrac{mv^2}{r}$

$T = m(g+ \dfrac{v^2}{r})$

$T = 90(9.8+ \dfrac{7.4^2}{11.5})$

$T = 90(9.8+ 4.762)$

$T = 90 x\14.562$

$T =1310.58\ N$

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