A cyclist does 1500 J of work to climb a hill. If he takes 5 minutes, what is hi

Practice Questions

Q1
A cyclist does 1500 J of work to climb a hill. If he takes 5 minutes, what is his average power output?
  1. 5 W
  2. 10 W
  3. 15 W
  4. 20 W

Questions & Step-by-Step Solutions

A cyclist does 1500 J of work to climb a hill. If he takes 5 minutes, what is his average power output?
  • Step 1: Understand the problem. We need to find the average power output of a cyclist who does 1500 J of work in 5 minutes.
  • Step 2: Recall the formula for power. Power is calculated as Power = Work / Time.
  • Step 3: Identify the work done. The cyclist does 1500 J of work.
  • Step 4: Convert the time from minutes to seconds. Since there are 60 seconds in a minute, 5 minutes is equal to 5 * 60 = 300 seconds.
  • Step 5: Substitute the values into the power formula. Power = 1500 J / 300 s.
  • Step 6: Calculate the power. 1500 J divided by 300 s equals 5 W.
  • Step 7: Conclude that the average power output of the cyclist is 5 watts.
  • Power Calculation – Power is defined as the rate at which work is done, calculated by dividing the total work done by the time taken.
  • Unit Conversion – Understanding the need to convert time from minutes to seconds for accurate calculations.
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