Respuesta :
Answer:
361.8 J
Explanation:
[tex]F[/tex] = Pulling force applied on the sled by the child = 55 N
[tex]\theta[/tex] = Angle between the direction of pulling force and displacement = 20 deg
[tex]d[/tex] = Displacement of the system = 7.0 m
[tex]W[/tex] = Work done by the child's pulling force
We know that work done is given as
[tex]W = F d Cos\theta\\W = (55) (7.0) Cos20\\W = 361.8 J[/tex]
The work done by child to move the system is 361.78 Joules.
The work done is given by an expression shown below,
[tex]Workdone=Force*Distance*Cos\theta[/tex]
Where [tex]\theta[/tex] is angle between force and direction of displacement.
Given that, [tex]Force=55N,Distance=7m,\theta=20[/tex]
Substitute in above expression.
[tex]Workdone=55*7*cos(20)\\ \\ Workdone=55*7*0.939\\ \\ Workdone=361.78Joule[/tex]
Thus, the work done by child to move the system is 361.78 Joules.
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