Power - AP Physics C Mechanics

1. What is the power developed by a turbine producing 400 J in 4 s?

   100 W. $P = E/t = 400/4 = 100$ W.

2. Calculate the power if 400 J of energy is used in 4 seconds.

   100 W. $P = E/t = 400/4 = 100$ W.

3. Express 1 megawatt in watts.

   1 megawatt = $10^6$ watts. Mega means million.

4. What is the power developed by an engine exerting 50 Nm at 10 rad/s?

   500 W. $P = \tau \omega = 50 \times 10 = 500$ W.

5. Convert 1 horsepower to watts.

   1 horsepower = 746 watts. Standard conversion in physics.

6. How much power is used when lifting a 50 kg mass at 2 m/s?

   Approximately 980 W. $P = mgv = 50 \times 9.8 \times 2 = 980$ W.

7. What is meant by average power?

   Total work done divided by total time. Power over extended time period.

8. Identify the formula for instantaneous power.

   Power = $\frac{dW}{dt}$. Derivative of work with respect to time.

9. What is the average power output of a machine doing 1200 J in 12 s?

   100 W. $P = W/t = 1200/12 = 100$ W.

10. How is mechanical power defined?

    Rate at which work is done. Energy transfer per unit time.

11. Find the power if a 10 N force moves an object at 3 m/s.

    30 W. $P = F \cdot v = 10 \times 3 = 30$ W.

12. What is the power when a force of 15 N acts at 4 m/s?

    60 W. $P = F \cdot v = 15 \times 4 = 60$ W.

13. If a machine does 600 J of work in 10 s, calculate the power.

    60 W. $P = W/t = 600/10 = 60$ W.

14. Determine the power if 300 J is used in 3 seconds.

    100 W. $P = E/t = 300/3 = 100$ W.

15. What is the power if a 30 N force moves an object at 2 m/s?

    60 W. $P = F \cdot v = 30 \times 2 = 60$ W.

16. What is the formula for power in terms of work done and time?

    Power = $\frac{W}{t}$. Work divided by time elapsed.

17. What is the unit of power equivalent to one joule per second?

    Watt. Definition of the watt unit.

18. State the formula for power in rotational dynamics.

    Power = $\tau \cdot \omega$. Rotational power formula.

19. What happens to power if you double the speed at which work is done?

    Power doubles. Power is directly proportional to rate.

20. How much power is generated by a force of 25 N at 4 m/s?

    100 W. $P = F \cdot v = 25 \times 4 = 100$ W.

21. If a device consumes 1000 J in 2 s, what is its power rating?

    500 W. $P = E/t = 1000/2 = 500$ W.

22. What is the power output of a motor doing 200 J of work in 5 seconds?

    40 W. $P = W/t = 200/5 = 40$ W.

23. How is power related to torque and angular speed?

    Power = $\tau \cdot \omega$. Angular equivalent of $P = F \cdot v$.

24. Convert 5 kilowatts to watts.

    5000 W. Kilo means thousand.

25. What is the power if a car does 9000 J of work in 30 s?

    300 W. $P = W/t = 9000/30 = 300$ W.

26. What is the formula for power in terms of torque and angular velocity?

    Power = $\tau \cdot \omega$. Torque times angular velocity.

27. How is power related to energy?

    Power = $\frac{E}{t}$. Energy per unit time.

28. Identify the relationship between power, energy, and time.

    Power = $\frac{E}{t}$. Fundamental power relationship.

29. State the formula for power in terms of force and velocity.

    Power = $F \cdot v$. Force times velocity when parallel.

30. What is the definition of instantaneous power?

    Power at a specific moment in time. Power measured at one instant.

31. Determine the power if a 20 N force moves an object at 5 m/s.

    100 W. $P = F \cdot v = 20 \times 5 = 100$ W.

32. What is the power output if 500 J of work is done in 5 s?

    100 W. $P = W/t = 500/5 = 100$ W.

33. State the expression for power in terms of energy conversion.

    Power = $\frac{\Delta E}{\Delta t}$. Change in energy per time interval.

34. What is the unit of power in the International System of Units (SI)?

    Watt (W). One watt equals one joule per second.

35. Calculate the power if a force of 10 N moves an object at 10 m/s.

    100 W. $P = F \cdot v = 10 \times 10 = 100$ W.

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