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A toy wagon is being pulled by a child. The child pulls with a force of $25$ pounds on a rod that forms a $20$ angle with the horizontal $($see figure$).$ Calculate the work done to pull it a distance of $50$ feet.

Taken from: Calculus, $9$th Ed$.(2010).$ Larson & Edwards

a$.510\mathrm{.}10ft*lb$

b$.410\mathrm{.}5ft*lb$

c$.310\mathrm{.}10$ ftlb

d$.610\mathrm{.}10ft*lb$

e$.$ None of the above

$5.$ Calculate the work done to move a particle from $P(0,0,0)$ to the point $Q(4,7,5).$ The magnitude and direction of the force are given by vec$(v)=($:$1,4,8$:$).$ The distance is given in meters, and the force in Newtons.

a$.62N-m$

b$.52N-m$

c$.72N-m$

d$.162N-m$

e$.42N-m$