# W&P3)A janitor pushes a mop with a force of 52 N. If the mop handle is at an angle of 52 degrees above the horizontal, how much work is required to push the mop 4.6m?

1 answer

###### Question:

W&P3)A janitor pushes a mop with a force of 52 N. If the mop handle is at an angle of 52 degrees above the horizontal, how much work is required to push the mop 4.6m?

## Answers

Answer:[tex]the \: required \: work is \to \\ \boxed{w = 147.3 \: J}[/tex]Explanation:[tex]the \: required \: force \: is \: the \: horizonal \: component \: of \: \\ the \: force \: f_{x} = 52 \cos(52) = \boxed{32.014396716 \: N} \\ the \: work \: to \: be \: done \: is \to \\ w = f \times s = 32.014396716 \times 4.6 \\ \boxed{w = 147.26622489 \: J}[/tex]

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