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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?

Respuesta :

Answer:

[tex]T =1310.58\ N[/tex]

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 = ?

[tex]T = mg + \dfrac{mv^2}{r}[/tex]

[tex]T = m(g+ \dfrac{v^2}{r})[/tex]

[tex]T = 90(9.8+ \dfrac{7.4^2}{11.5})[/tex]

[tex]T = 90(9.8+ 4.762)[/tex]

[tex]T = 90 x\14.562[/tex]

[tex]T =1310.58\ N[/tex]

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

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