# Power word problems

Below are some carefully selected power word problems to help you understand the concept of power in physics.

**Problem # 1:**

How much power is required to do 200 joules of work in 4 seconds?What if you do the same work in 2 seconds? Did you notice anything? Say what you noticed.

**Solution:**

Power =

work done
/
time interval

Power = 50 Watts or 50 joules per second

What if the same work is done in 2 seconds?

Power = 100 Watts or 100 joules per second

I noticed that more power is required to do the same work in less time.

### Interesting power word problems

**Problem # 2:**

Which person is more powerful?

It takes John 2 seconds to lift a 100-kg barbell a distance of 20 centimeters.

It takes Peter 3 seconds to lift a 200-kg barbell a distance of 15 centimeters.

**Solution:**

First, convert 20 centimeters and 15 centimeters to meters.

20 centimeters = 0.20 meters and 15 centimeters = 0.15 meters.

Find the force that is required to lift 100 kg and 150 against gravity.

F = 100 × 10 = 1000 Newtons

F = 200 × 10 = 2000 Newtons

Power =

work done
/
time interval

Power =

F × d
/
time interval

John's power =

1000 × 0.2
/
2

John's power =

1000
/
2

× 0.2

Power = 500 × 0.2

Power = 100 Watts or 100 joules per second

Peter's power =

2000 × 0.15
/
3

Power = 100 Watts or 100 joules per second

John and Peter have the same power.

**Problem # 3:**

The power of a machine is 4 kilowatts. How much work can this machine do in 1 second ? Answer should be in Newtons/ 4 meters. Don't use the formula to solve this problem!

If you still cannot do it without using the formula,

click here to see the solution.

**Solution:**

4 kilowatts = 4000 watts

Remember that 1 watt = 1 joule of work in 1 second

4000 watts then = 4000 joules of work in 1 second

The work done then in 1 second = 4000 joules.

Remember that 1 joule means 1 Newton of force over a distance of 1 meter.

4000 joules means 4000 Newtons of force over a distance of 1 meter.

This means 16000 Newtons of force over a distance of 4 meters

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