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A tractor applies a force of 500 N to pull a trailer a distance of 3 km - Leaving Cert Physics - Question b - 2016

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A tractor applies a force of 500 N to pull a trailer a distance of 3 km. Calculate the work done by the tractor.

Worked Solution & Example Answer:A tractor applies a force of 500 N to pull a trailer a distance of 3 km - Leaving Cert Physics - Question b - 2016

Step 1

Calculate Work Done by the Tractor

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Answer

To calculate work done (W) by the tractor, we use the formula:

W=FimesdW = F imes d

where:

  • F is the force applied (in Newtons)
  • d is the distance moved (in meters)

Given:

  • Force, F=500NF = 500 \, \text{N}
  • Distance, d=3km=3000md = 3 \, \text{km} = 3000 \, \text{m}

Substituting the values into the formula:

W=500N×3000mW = 500 \, \text{N} \times 3000 \, \text{m}

Calculating the result:

W=1500000J=1.5×106JW = 1500000 \, \text{J} = 1.5 \times 10^6 \, \text{J}

Thus, the work done by the tractor is 1.5 x 10^6 J.

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