A shopper in a supermarket pushes a cart with a force of 35 N directed at an ang

Question

A shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 degrees below the horizontal. The force is just sufficient to overcome various frinctional forces, so the cart moves at a constant speed. A) find the work done by the shopper as she moves down a 50.0 m length aisle. B) what is the net work done on the cart? Why? C) the shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesn’t change, would the shopper’s applied force be larger, smaller or the same? What about the work done on the cart by the shopper? A shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 degrees below the horizontal. The force is just sufficient to overcome various frinctional forces, so the cart moves at a constant speed. A) find the work done by the shopper as she moves down a 50.0 m length aisle. B) what is the net work done on the cart? Why? C) the shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the work done by frictional forces doesn’t change, would the shopper’s applied force be larger, smaller or the same? What about the work done on the cart by the shopper?

Explanation / Answer

a)
W = FScos(theta)
= 35*cos(-25)*50
= 1586 J

b) The work done on the cart is zero
c) The applied force would be smaller and the work would again be zero

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