The force you exert on the bag is equal and opposite to the weight force. The motion is in a perpendicular direction.
When force and motion are in perpendicular directions, the work done is zero.
Suppose you carry a bag of groceries weighing 127 N from your car to your kitchen, a distance of 48 m, without raising or lowering the bag.
(a) What is the work done by the force you exert on the bag?
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