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Mathematics, 29.07.2021 22:20 selldotjr

2. How much work will the person below do in mowing a rugby field of dimension 70m x 100 m if the mower can cut a strip of 0.5 m wide. The person can exert a force of 150 N on the handle which
makes an angle of 45° with the horizontal and is walking at a steady pace up and down the lawn. Use
two decimal point accuracy.
[10]
How many 100 m lengths must he walk?
Express the force (when placing the tail at the origin) and the displacement (when placing
the tail at the origin) of one length as vectors. (Use the diagram below)
Determine the work done in mowing one length of the field using the vector representations of
the force and displacement.
Determine the total work done in mowing the entire lawn in terms of where
10003
= kt.
The person would like to reward himself with a chocolate. His choices are
Extra large Bar One: 1400
Tex Bar:
Slim bar: 338
Lollipop:
Which one is the largest treat he can have without exceeding what he spent?

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