Question #be539

1 Answer
Sep 4, 2017

Answer:

#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"" ")|)#