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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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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? $E = Pt$

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 find the energy used, we can use the formula:

E=PtE = Pt

where:

  • EE is the energy in joules (J)
  • PP is the power in watts (W)
  • tt is the time in seconds (s)

First, convert the time from minutes to seconds:

t=18extminutes×60=1080extsecondst = 18 ext{ minutes} \times 60 = 1080 ext{ seconds}

Now, plug the values into the energy formula:

E=280extW×1080exts=302400extJE = 280 ext{ W} \times 1080 ext{ s} = 302400 ext{ J}

Thus, the cyclist uses 302400 J of energy.

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