Power and Efficiency Physics 11 Power o The

Power, and Efficiency Physics 11

Power o The rate at which work is done. o OR o The rate at which energy is transferred.

Power o Formula: o Symbol: P o Units: Watts (W) o NOTE: 1 Watt = 1 Joule/second

Power o o Any machine that does mechanical work or any device that transfers energy via heat can be described using a power rating. Your appliances at home have a power rating.

Example: o A crane is capable of doing 1. 50 x 105 J of work in 10. 0 s. What is the power of the crane?

Answer: 1. 50 x 104 W

Example 2: o o o A cyclist and her bike have a mass of 60. 0 kg. She is able to cycle up a hill that changes her altitude by 400. m in 1. 00 min. Assume no friction. A) How much work does she do against gravity in climbing the hill? B) How much power is she able to generate?

Answer

Efficiency o Not all systems are closed. n o Energy can be lost through friction and other ways Efficiency of energy conversion in open systems.

Efficiency o o o There is no unit for efficiency. It is a scalar. We can also look at efficiency in terms of work:

Efficiency o Consider the following: n A rocket has 3. 50 x 103 J of chemical potential energy. The stored chemical energy is transformed into gravitational potential energy when it is launched. What is the efficiency of the rocket’s transformation of energy if the 0. 500 kg rocket travels 1. 00 x 102 m? Where does the “lost” energy go? ? ?

Answer