A man cleaning his apartment pushes a vac- uum cleaner with a force of magnitude 57.6 N. The force makes an angle of 25.3◦ with the hor- izontal floor. The vacuum cleaner is pushed 2.71 m to the right along the floor.

Calculate the work done by the 57.6 N force. Answer in units of J. IM REALLY CONFUSED PLEASE HELP

2 answers

work=57.6 cos25.3*2.71
Use the equation: W = F(parallel) * s
Where:
W: The work done
F: Force parallel to the work
S: displacement

We have the force parallel, which is the horizontal component of our Force vector, which is equal to 57.6cos(25.3). You multiply this with the displacement, given to us: 2.71.
57.6cos(25.3) * 56.7 = 141.1 J

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