## Work And Power Calculations Worksheet Answers

Have you been struggling with understanding work and power calculations? Look no further! In this article, we will provide you with the answers to a worksheet that will help you practice and master these concepts. By the end of this article, you will have a better understanding of how to calculate work and power in various scenarios.

### Worksheet Answers

1. A person pushes a box with a force of 50 N for a distance of 10 meters. Calculate the work done.

Work = Force × Distance

Work = 50 N × 10 m

Work = 500 J

Therefore, the work done by the person is 500 Joules.

2. A car engine exerts a force of 5000 N to move a car a distance of 100 meters. Calculate the work done.

Work = Force × Distance

Work = 5000 N × 100 m

Work = 500,000 J

Therefore, the work done by the car engine is 500,000 Joules.

3. An elevator lifts a mass of 100 kg to a height of 20 meters in 10 seconds. Calculate the power exerted by the elevator.

Power = Work ÷ Time

Work = Force × Distance

Work = (100 kg × 10 m/s^2) × 20 m

Work = 20,000 J

Power = 20,000 J ÷ 10 s

Power = 2000 W

Therefore, the power exerted by the elevator is 2000 Watts.

4. A person lifts a weight of 50 kg to a height of 5 meters in 5 seconds. Calculate the power exerted by the person.

Power = Work ÷ Time

Work = Force × Distance

Work = (50 kg × 10 m/s^2) × 5 m

Work = 2500 J

Power = 2500 J ÷ 5 s

Power = 500 W

Therefore, the power exerted by the person is 500 Watts.

### Understanding Work and Power Calculations

Work and power are key concepts in physics that describe the relationship between force, distance, and time. Work is defined as the product of force and distance, while power is defined as the rate at which work is done. By understanding how to calculate work and power, you can analyze and solve various problems related to motion and energy.

When calculating work, it is important to remember that both force and distance are vector quantities. This means that the direction of the force and the direction of the displacement must be taken into account. The formula for work is W = F × d × cos(θ), where θ is the angle between the force and the displacement vectors.

Power, on the other hand, is a scalar quantity that represents the rate at which work is done. The formula for power is P = W ÷ t, where W is the work done and t is the time taken to do the work. Power is measured in watts (W), where 1 watt is equal to 1 joule per second.

By mastering the concepts of work and power calculations, you will be able to analyze and solve a wide range of problems in physics and engineering. Practice using the worksheet answers provided above to improve your understanding and proficiency in these important concepts.

### Conclusion

Work and power calculations are fundamental concepts in physics that play a crucial role in understanding the relationship between force, distance, and time. By learning how to calculate work and power, you can analyze and solve complex problems related to motion and energy. Practice using the worksheet answers provided in this article to improve your skills and confidence in applying these concepts.

Remember, practice makes perfect! Keep practicing and refining your skills in work and power calculations to become proficient in these important principles of physics.