Energy, Work & Power

1. Unit 6 Energy, Work & Power

2. Learning Objectives • You will learn • the relationship between work and energy change • kinetic energy = ½mv2 • gravitational potential energy =mgh • conservation of energy

3. Work Done (J) = Energy Used (J) Energy and Work When we do work, we use energy. If we do more work, we use more energy. Hence, When one joule of work is done, one joule of energy is used up. Def: Energy is the capacity to do work. Qn: Where do we get this energy?

4. Energy- the ability to do work • Some examples of energy

5. energy Kinetic energy (K.E.) Kinetic energy (K.E.) is the energy that an object has due to its motion. • Formula K.E. = ½ mv2 Where K.E.is measured in J m is measured in kg v is measured in m/s How does speed affect kinetic energy for an object? The faster the object moves, the greater is its kinetic energy.

6. energy Kinetic energy (K.E.) A car of mass 1000 kg is moving at a speed of 10m/s. What is its kinetic energy? If the speed is increased to 20m/s, how many times will the kinetic energy be increased by? Kinetic energy = ½ x m x v2 = ½ x 1000 x 10 x 10 = 50 000J Kinetic energy = ½ x m x v2 = ½ x 1000 x 20 x 20 = 200 000J = 4 (50 000) J = 4 times

7. mg h energy Gravitational potential energy (G.P.E.) Gravitational potential energy is the energy a body possesses because of its position relative to the ground. Where GPEis measured in J m is measured in kg g is a constant at 10 m/s2 h is measured in m GPE = mgh gravitational potential energy at reference level is defined as zero Reference level GPE = 0 J How does height affect GPE? The further a body is from the ground, the greater is its gravitational potential energy.

8. Note that gravitational potential energy is never measured absolutely. It is ALWAYS measured with respect to a certain level This level is called reference level we only consider the change in vertical height.

9. energy Gravitational potential energy (G.P.E.) A car of mass 1000 kg is raised up to a height of 5m by an electromagnet. What is the gain in gravitational potential energy of the car? Another car of weight 800 kg is raised to a height of 7m. What is the gain in gravitational potential energy of the car? Gravitational potential energy = m x g x h = 1000 x 10 x 5 = 50 000J Gravitational potential energy = m x g x h = 800 x 10 x 7 = 56 000J

10. Energy Energy Conversion and Conservation principle of conservation of energy The principle of conservation of energy states that energy cannot be created or destroyed, but only changes from one form to another. Which means to say energy can convert from one type to another type of energy. E.g. electrical energy from a battery into light energy from a light bulb.

11. energy conversion and conservation conversion of energy: some examples

12. energy conversion and conservation conversion of energy: some examples

13. energy conversion and conservation conversion of energy Energy can change from one form into another. 1. The pile hammer is raised to a height. It has gravitational potential energy. 2. Gravitational potential energy of the pile hammer changes into kinetic energy during the fall 3. This kinetic energy is used to drive the pile into the ground

14. energy conversion and conservation principle of conservation of energy Ignoring effects of friction and air resistance all potential energy (stops for an instant) all potential energy (stops for an instant) all kinetic energy (greatest speed)

15. An object of mass 4kg slides down a smooth curved ramp. What is the speed of the parcel when it reaches the bottom? 4 m

16. By the principle of conservation of energy, Gain in K.E. = loss in G.P.E ½ mv2 = mgh v2 = 2gh (remove common terms i.e. m and bring ½ over) = 2 x 10 x 4 v = √160 = 12.6 m/s (3 sig fig) Is there any assumption that you have made? We assume that no energy is lost to the surrounding, ie negligible friction and air resistance.

17. By now you have learnt… • Forms of energy • kinetic energy = ½mv2 • gravitational potential energy =mgh • conservation of energy