A tractor pulls a plough through a field of dry loose dirt. The plough creates a furrow by pulling a blade through the field. The plough has 7 blades and so can plough 7 furrows at once. Each plough need to be 4 cm deep and 15 cm wide. The plough can be modelled as a blade with an angle 27 deg to the surface of the field. Given that the tractor h solutionspile.com

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A tractor pulls a plough through a field of dry loose dirt. The plough creates a furrow by pulling a blade through the field. The plough has 7 blades and so can plough 7 furrows at once. Each plough need to be 4 cm deep and 15 cm wide. The plough can be modelled as a blade with an angle

27\deg

to the surface of the field. Given that the tractor has a velocity of 33 kph and that dry loose dirt has a density of

1220(kg)/(m^(3))

. Assume that the tractor is moving in the negative

x

direction. Calculate the total force required by the tractor to pull the plough, write your answer, in N , to 3 significant figures.

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