2. A shopper in a supermarket pushes a cart with a force of29 N directed at an a

Question

2. A shopper in a supermarket pushes a cart with a force of29 N directed at an angle of 25°downward from the horizontal. Find the work done by the shopper asshe moves down a 56 m length ofaisle.
1 J
Will rate lifesaver if you explain in detail how tosolve problem. thank you :) 2. A shopper in a supermarket pushes a cart with a force of29 N directed at an angle of 25°downward from the horizontal. Find the work done by the shopper asshe moves down a 56 m length ofaisle.
1 J
Will rate lifesaver if you explain in detail how tosolve problem. thank you :)

Explanation / Answer

The force is applied downward part of it pushes the cartvertically down (no displaceent downward; no work done by thiscomponent, F sin ). Work is done by the horiz component of the force which pushesit horizontally. W= F cos x Sx = 29 x cos 25 x 56     = 1472 J Another way of explaining it is by using the vector forula forwork. W is the scalar product of force F and displaceent.          W =F.S = F.S cos              = 29x56xcos 25                =29x56x0.9063               = 1472 J

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