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You do 174 J of work while pulling your sister back on a swing, whose chain is 5.10 m long, until the swing makes an angle of 32.0° with the vertical. What is your sister's mass?

Respuesta :

Answer:

U= J=MGH

H= 5.10-5.10cos34=0.8719

solve for M

174=M(9.8)(0.8719)

M= (9.8*0.8719)/174

= 20.3634 KG

Explanation:

Cricetus

The sister's mass will be "22.9 Kg".

The given values are:

Work,

  • W = 174 J

Height,

  • h = 5.10 m

Angle,

  • θ = 32°

As we know, the amount of work done will be:

→ [tex]W = mgh(1-Cos \Theta)[/tex]

By substituting the given values, we get

→ [tex]174= m\times 9.8\times 5.10 (1- Cos 32^{\circ})[/tex]

→ [tex]174 = m\times 9.8\times 5.10 (1- 0.8481)[/tex]

→   [tex]m = 22.9 \ Kg[/tex]    

Thus the above above is right.

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