In $($Figure $1),$ the man has a mass of $75$ kg and the crate has a mass of $130$ kg $.$ The coefficient of static friction between his shoes and the ground is $\backslash (\backslash$mu$\_\{$s$\}=0\mathrm{.}4\backslash )$ and between the crate and the ground is $\backslash (\backslash$mu$\_\{$c$\}=0\mathrm{.}3\backslash ).$

Part A

Determine if the man is able to move the crate using the rope$-$and$-$pulley system shown.

The man cannot move the crate.

The man can move the crate.

Previous Answers

Correct

Part B

Prove your answer to part A by calculating the static frictional force $\backslash ($ F $\backslash )$ between the man's shoes and the ground required to move the crate and the maximum static frictional force $\backslash ($ F$\_\{\backslash$max $\}\backslash )$ which can be developed.

Express your answers in newtons to three significant figures separated by a com$\_$ma$.$

$\backslash [$

F$,$ F$\_\{\backslash$max $\}=$

$\backslash ]$

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