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A crane, powered by an electric motor, has a bucket that weighs 540 N when empty - Leaving Cert Physics - Question (a) - 2014

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A crane, powered by an electric motor, has a bucket that weighs 540 N when empty. The crane uses the bucket to lift 800 N of concrete up 75 m on a building site. Cal... show full transcript

Worked Solution & Example Answer:A crane, powered by an electric motor, has a bucket that weighs 540 N when empty - Leaving Cert Physics - Question (a) - 2014

Step 1

Calculate the Total Weight Lifted

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Answer

To find the total weight being lifted, we sum the weight of the empty bucket and the weight of the concrete:

extTotalWeight=extWeightofBucket+extWeightofConcrete=540extN+800extN=1340extN ext{Total Weight} = ext{Weight of Bucket} + ext{Weight of Concrete} = 540 ext{ N} + 800 ext{ N} = 1340 ext{ N}

Step 2

Calculate the Work Done

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Answer

Work done is calculated using the formula:

extWork=extForceimesextDistance ext{Work} = ext{Force} imes ext{Distance}

Substituting the values we have:

extWork=1340extNimes75extm=100500extJ=1.005imes105ext(Nm) ext{Work} = 1340 ext{ N} imes 75 ext{ m} = 100500 ext{ J} = 1.005 imes 10^5 ext{ (N m)}

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