A shopper in a supermarket pushes a cart with a force 25 N directed at an angle

Question

A shopper in a supermarket pushes a cart with a force 25 N directed at an angle of 25 degrees bbelow the horizzontal. The force is just sufficent to overcome various frictional forces, so that the cart moves at a constant speed.

(a) find the work done by the shopper as she moves down a 35.0 m length aisle. J

(b) what is the net work done on the cart? J

(c) why?

(d) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by functions forces doesn't change, would the shopper's applied force be larger, smaller, or the same?What about work done on cart by shopper?   This is a Physics question

Explanation / Answer

(a) W=Fdcos=(25)(30)cos(25)=680 J
where is the angle between the applied force and thedisplacement
(b) Since the cart is moving with constant velocity,Fnet=ma=m(0)=0
Net force is zero, so net work done on the cart is also0J
(c) The shopper's force along the horizontalcomponent would be larger since all of the forceis now directed horizontally, even though the shopper is pushingwith the same force as before. The work done would belarger also, because now =0 andW=Fdcos is larger than it was before.               

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