A cyclist does 600 J of work to climb a hill. If he takes 30 seconds, what is hi

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Question: A cyclist does 600 J of work to climb a hill. If he takes 30 seconds, what is his average power output? (2022)

Options:

Correct Answer: 20 W

Solution:

Power = Work / Time = 600 J / 30 s = 20 W.

A cyclist does 600 J of work to climb a hill. If he takes 30 seconds, what is his average power output? (2022)

A cyclist does 600 J of work to climb a hill. If he takes 30 seconds, what is his average power output? (2022)

Step 1: Understand the problem. We need to find the average power output of a cyclist who does work while climbing a hill.
Step 2: Identify the values given in the problem. The cyclist does 600 Joules (J) of work and takes 30 seconds (s) to do this work.
Step 3: Recall the formula for power. Power is calculated using the formula: Power = Work / Time.
Step 4: Substitute the values into the formula. Replace 'Work' with 600 J and 'Time' with 30 s: Power = 600 J / 30 s.
Step 5: Perform the calculation. Divide 600 by 30 to find the power: 600 J / 30 s = 20 Watts (W).
Step 6: State the final answer. The average power output of the cyclist is 20 W.

Power – Power is the rate at which work is done, calculated as work divided by time.
Work-Energy Principle – The work done on an object is equal to the change in energy of that object.
Units of Measurement – Understanding the units of work (Joules) and power (Watts) is essential for solving problems in physics.