7.7 Power

7.7 Power

  • Hang mass from springs.
    • You can slow it down.
    • The lab should be transported to different planets.
    • There is a chart showing the potential and thermal energy of the spring.
  • The rocket on the Space Shuttle was very powerful and consumed a lot of energy.
  • The rate at which work is done is called power.
  • Power is the rate at which energy is used.
    • 60 J of energy is used by a 60-W light bulb.
    • A large amount of work or energy can be developed in a short time.
    • When a car is fast, it consumes a lot of fuel in a short time and does a lot of work.
  • The woman converts the chemical energy from food to energy when she runs upstairs.
    • How fast she does this will affect her power output.
  • There is work going into mechanical energy.
    • Where is the vertical height of the stairs when we take both and as initially zero at the bottom of the stairs?
  • The woman does 1764 J of work to move up the stairs compared with 120 J to increase her energy output, so most of her power output is required to climb rather than accelerate.
  • People can quickly convert available blood sugar and oxygen into work output by using their leg muscles.
    • The aerobic stage of exercise is when the power output decreases and the person begins to breathe quickly to get more oxygen.
    • The power output of the woman would be less if she climbed the stairs slowly.
  • Measure the time it takes you to climb a flight of stairs to determine your power rating.
    • The above example shows that it was a small portion of the energy gain.
    • Don't expect your output to be much more than that.
  • There are as many types of work and energy as there are examples of power.
  • Over the long term, a small portion of this is retained by Earth.
    • The rate at which fossil fuels are consumed is greater than the rate at which they are stored, so it is inevitable that they will be exhausted.
    • Power means that energy is transferred.
    • It is not possible to change one form completely into another.
    • A 60-W bulb converts only 5 W of electrical power to light, with 55 W dissipating into thermal energy.
    • The typical electric power plant converts 35 to 40% of its fuel into electricity.
    • A huge amount of thermal energy must be dispersed as quickly as possible.
    • A coal-fired power plant can produce 1000 megawatts; 1 megawatt is of electric power.
    • The power plant creates heat transfer from the chemical energy it consumes to the surroundings at a rate of 1500 MW.
  • Tremendous amounts of electric power are generated by coal-fired power plants such as this one in China, but an even larger amount of power goes into heat transfer to the surroundings.
    • The cooling towers here need to transfer heat as quickly as possible.
    • The transfer of heat is not unique to coal plants, but is an unavoidable consequence of generating electric power from any fuel.
  • We have to pay for the energy we use.
    • It is easy to estimate the cost of energy for an appliance if it is known how much power it uses.
    • The higher the power consumption rate, the higher the cost of the appliance.
    • Where is the energy supplied by the electricity company?
  • The unit is convenient because the electrical power consumption for hours at a time is typical.
  • The cost is based on the amount of energy used.
    • It is convenient to convert the units into hours at the start of a problem.
  • The cost of using a computer is not excessive.
    • The cost is a combination of power and time.
    • The cost of an air conditioner in the summer is high.
  • With the price increasing, the motivation to save energy has become more compelling.
    • You can estimate costs for yourself if you know that energy is the product of power and time.
    • The power or time must be reduced.
    • Limit the use of high-power devices that operate for long periods of time is the most cost-effective way to do it.
    • This would not include devices that are high in power because they are only on a few minutes a day.
    • It wouldn't include electric clocks because they are very low power devices.
    • Sometimes it is possible to use devices that consume less power to accomplish the same task.
    • One example is the compact fluorescent light bulb, which uses four times more power to produce the same amount of light.
  • Current levels of energy consumption and production are not sustainable.
    • The likelihood of a link between global warming and fossil fuel use has made reduction in energy use as well as a shift to non-fossil fuels of the utmost importance.
    • Even though energy in an isolated system is a conserved quantity, the final result is waste heat transfer to the environment, which is no longer useful for doing work.
    • The potential for energy to produce useful work has been degraded by the energy transformation.
  • All living organisms are energy conversion machines.
    • Chemical energy in food can be converted into work, thermal energy, and/or stored as chemical energy in fat.
    • If we eat more than we need to, the rest goes into our body fat.
  • Humans use energy for work, thermal energy, and stored fat.
    • Depending on the type of physical activity, the thermal energy fraction varies.
  • The largest portion goes to the body's organs.
    • The majority of calories burned in a day go into these basic functions.
    • The BMR is a function of age, gender, total body weight, and amount of muscle mass.
    • Athletes have a higher BMR because of this last factor.
  • The metabolism of food is related to the metabolism of oxygen.
    • Oxygen use and energy use can be measured.
    • Table 7.5 shows the energy and oxygen consumption rates for various activities.
  • Useful work requires force to be exert through a distance on the outside world, and so it excludes internal work, such as that done by the heart when pumping blood.
    • Useful work can be accomplished by climbing stairs or running a full run because the outside world exerts force on them.
    • The body exerts nonconservative forces so that they can change the mechanical energy of the system.
    • A baseball player throwing a ball increases the ball's potential energy.
  • If a person needs more energy than they consume, the body must use the chemical energy stored in fat.
    • Losing fat can be aided by exercise.
    • The amount of exercise needed to burn calories or lose fat can be large.
  • A person who normally requires 12,000 kJ of food energy per day will gain weight if he consumes 13,000 kJ per day.
  • When cycling at a moderate speed, 400 W are used.
  • If this person uses more energy than he or she consumes, the person's body will get the needed energy by burning body fat.
  • The amount of oxygen in the blood can be measured with a pulse oxymeter.
    • The rate at which food energy is converted to another form is what the knowledge of oxygen and carbon dioxide levels indicates.
    • It is possible to determine the level of athletic conditioning as well as some medical problems.