Answer to Question #725 in Mechanics | Relativity for Brian
with a force of 38 N directed at an angle of
26.4◦ downward from the horizontal.
Find the work done by the shopper as she
moves down a 49.2 m length of aisle.
Answer in units of kJ.
In this case we need consider only the horizontal component of force
Fh=F*sin α=38*sin 26.4=16.9
because there no any moving in vertical plane.
Then the work is A=Fh*l=16.9*49.2=831J=0.83kJ
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work A=F*S where F- projection of the force on the direction of motion
s-way trawelled while force is actiong
Hence in our case F=39N*cos(29°)
Work A=39N*cos(29°)*50m=1705,5 J
A shopper in a supermarket pushes a cart with a force of 39.0 N directed at an angle of 29.0° downward from the horizontal. Find the work done by the shopper on the cart as he moves down an aisle 50.0 m long.