Work done is equal to the the straight distance (s) moved by the multiplied by the magnitude of the force (f) in the direction of movement.
In the given question the cart moves by a distance of 48.6 m in horizontal direction.
The force applied (F) is 38 N in a direction making angle (A) of 25 degrees with the horizontal.
We can resolve this force in two equivalent components, one along the direction of movement of cart, and the other at right angles to it
The force along horizontal is given by:
f = F*(Cos A) = 38*(Cos25) = 38*0.9063
As the cart moves only in horizontal direction and there is no other movement in any other direction, the total work done (w) is that due to movement of cart.
Therefore: w = s*f = 48.6*(38*0.9063)
= 1673.7548 J
Answer: Work done by the shopper on the cart is 1673.7548 J
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