A 115 kg mail bag hangs by a vertical rope 3.3 mlong. A postal worker then displ

Question

A 115 kg mail bag hangs by a vertical rope 3.3 mlong. A postal worker then displaces the bag to a position 2.1 m sideways from its original position, always keeping the rope taut.

Part A

What horizontal force is necessary to hold the bag in the new position?

Express your answer using two significant figures.

F =

Part B

As the bag is moved to this position, how much work is done by the rope?

Express your answer using two significant figures.

Part C

As the bag is moved to this position, how much work is done by the worker?

Express your answer using two significant figures.

Explanation / Answer

1) = arcsin[2.1/3.3]=39.52 degrees

Fx = m*g*tan=115*9.8*tan(39.52)=929.727 N

vertical upward displacement of the bag = h = L (1 - Cos )=0.75 m

Work done by the rope = zero

work done by the worker = Mgh=115*9.8*0.75=850.18 J

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