# Question be539

Sep 4, 2017

$W = 1586$ $\text{J}$

#### Explanation:

We're asked to find the work done by the applied force of the shopper on a cart as she pushes it down an aisle.

Since this motion is one-dimensional, we can use the equation

ul(W = Fscosphi

where

• $F$ is the magnitude of the applied force acting on the cart (given as $35$ $\text{N}$)

• $s$ is the magnitude of the displacement of the cart (given as $50$ $\text{m}$)

• $\phi$ is the angle the applied force makes with respect to the positive $x$-direction (given as $- {25}^{\text{o}}$)

Plugging in known values, we have

color(red)(W) = (35color(white)(l)"N")(50color(white)(l)"m")cos(-25^"o") = color(red)(ulbar(|stackrel(" ")(" "1586color(white)(l)"J"" ")|)#