Answer to Question #170728 in Mechanics | Relativity for Jasmine Campbell

Question

You push a shopping cart 200.0 m by exerting a force of 12.00 N onto the handle at an angle of 20o above the horizontal axis. If the cart experiences a force of friction of 2.00 N, calculate the total amount of work done on the cart.

Answer 1

Let's find the work done by the pushing force:

$$W_p=F_pdcos\theta=12.0\ N\cdot200.0\ m\cdot cos20^{\circ}=2255\ J.$$

Let's find the work done by the force of friction:

$$W_{fr}=F_{fr}dcos\theta=2.0\ N\cdot200.0\ m\cdot cos180^{\circ}=-400\ J.$$

Finally, we can find the net (total) work done on the cart:

$$W_{net}=W_p-W_{fr}=2255\ J-400\ J=1855\ J.$$