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A cyclist’s average power output when climbing a mountain is 280 W - Leaving Cert Physics - Question (a) - 2016

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Question (a)

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A cyclist’s average power output when climbing a mountain is 280 W. He completes the climb in 18 minutes. How much energy does he use?

Worked Solution & Example Answer:A cyclist’s average power output when climbing a mountain is 280 W - Leaving Cert Physics - Question (a) - 2016

Step 1

Calculate Energy Used

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Answer

To determine the energy used by the cyclist, we can use the formula:

E=PimestE = P imes t

Where:

  • EE is the energy in joules,
  • PP is the power in watts,
  • tt is the time in seconds.

Given:

  • Power, P=280extWP = 280 \, ext{W}
  • Time, t=18extminutes=18imes60extseconds=1080extst = 18 \, ext{minutes} = 18 imes 60 \, ext{seconds} = 1080 \, ext{s}

Now substitute the values into the equation:

E=280extWimes1080extsE = 280 \, ext{W} imes 1080 \, ext{s}

Calculating the above gives:

E=302400extJE = 302400 \, ext{J}

Therefore, the cyclist uses 302400 J of energy.

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