A man cleaning his apartment pushes a vac-uum cleaner with a force of magnitude 42.8 N. The force makes an angle of 16.5◦with the hor-izontal floor. The vacuum cleaner is pushed2.62 m to the right along the floor. Calculate the work done by the 42.8 N force. Answer in units of J.

Question

Trystan Morrow

Physics

10 March, 13:22

A man cleaning his apartment pushes a vac-uum cleaner with a force of magnitude 42.8 N. The force makes an angle of 16.5◦with the hor-izontal floor. The vacuum cleaner is pushed2.62 m to the right along the floor. Calculate the work done by the 42.8 N force. Answer in units of J.

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Answers (1)

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Chloe Arnold · Answer 1

107.52 J

Explanation:

force (f) = 42.8 N

angle of force (θ) = 16.5 °

distance (d) = 2.62 m

find the work done.

work done = force x distance

resolving the force we have = 42.8 x cos (16.5) = 41.04 N

work done = 41.04 x 2.62 = 107.52 J