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A person pushes a 24.1-kg shopping cart at a constant velocity for a distance of 37.3 m on a flat horizontal surface. She pushes in a direction 30.9 ° below the horizontal. A 47.3-N frictional force opposes the motion of the cart.

a. What is the magnitude of the force that the shopper exerts?
b. Determine the work done by the pushing force.