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A crane moves a load of weight 7000 N to the top of a roof which is 4 m high - Leaving Cert Physics - Question e - 2019

Question e

A crane moves a load of weight 7000 N to the top of a roof which is 4 m high. The crane takes 20 seconds to do this work. Calculate the power output of the crane.

Worked Solution & Example Answer:A crane moves a load of weight 7000 N to the top of a roof which is 4 m high - Leaving Cert Physics - Question e - 2019

Step 1

Calculate the work done by the crane

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Answer

The work done

$ext{Work} = ext{Force} imes ext{Distance}$

Substituting the values:

$ext{Work} = 7000 ext{ N} imes 4 ext{ m} = 28000 ext{ J}$

Step 2

Calculate the power output of the crane

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Answer

Power is calculated using the formula:

$ext{Power} = \frac{\text{Work}}{\text{Time}}$

Substituting the values:

$ext{Power} = \frac{28000 ext{ J}}{20 ext{ s}} = 1400 ext{ W}$

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