A shopper in a supermarket pushes a cart with a force of 38 N directed at an angle of 24 degree downward from the horizontal.Find the work done by...

Given:

Force applied on cart = ft = 38 N

Angle of application of force = A = 24 degrees downward to horizontal.

Distance moved = s = 51.7 m

The force applied is not in horizontal. Therefore the whole force is not used for pushing the cart.

The force used for pushing the cart (fh) is only the horizontal component of the total force applied.

We know: fh = fh*Cos A = 38*Cos 24 = 38*0.9135 = 34.713

Work done = force*distance = 34.713*51.7 = 1794.6621 J

Answer: Work dione on the cart is 1794.6621 J.