Question

Question #be539

Answer 1

`W = 1586` `"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` `"N"`)

• `s` is the magnitude of the displacement of the cart (given as `50` `"m"`)

• `phi` is the angle the applied force makes with respect to the positive `x`-direction (given as `-25^"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"" ")|)`