1. The apple is ……. Vel ocity = = = x x  :

2. The apple is ……. = =  : x x =x

3. P2.2.1 Forces and Energy - Objectives Understand that if ‘work’ is done then a force is required. Energy is transferred when work is done (e.g. against frictional forces). How to calculate kinetic energy, power and potential energy.

4. Work done Work done, force and distance are related by the equation: W = F x d W is the work done in joules, J F is the force applied in newtons, N d is the distance moved in the direction of the force in metres, m

5. 500N Force (to overcome friction) 200m in direction of force How much work is needed to push this plane 200m? W = F x d = 500 x 200 = 100 000 Joules

6. Q1. A car needs to be pushed 200m, the friction of the tyres on the road is 75N. What is the work done? Q2. 10000J of energy is used to move a ship 1m. What was the force of the water resistance?

7. Power Power is the work done or energy transferred in a given time. P = E / t P is the power in watts, W E is the energy transferred in joules, J t is the time taken in seconds, s

8. What is the power of the plane engine if it transfers 5000J of energy in 5 seconds? P = E / t = 5000 / 5 = 1000 W

9. Potential Energy Gravitational potential energy is the energy that an object has by virtue of its position in a gravitational field. E p = m x g x h E p is the change in gravitational potential energy in joules, J m is the mass in kilograms, kg g is the gravitational field strength in newtons per kilogram, N/kg h is the change in height in metres, m

10. 1000kg mass 1000m height How much potential energy does this plane have when it flies at 1000m altitude? E p = m x g x h E p = 1000 x 10 x 1000 E p = 10 000 000 J g = 10 N/kg

11. Kinetic Energy The kinetic energy of an object depends on its mass and its speed. E k = ½ m x v 2 Ek is the kinetic energy in joules, J m is the mass in kilograms, kg v is the speed in metres per second, m/s

12. How much kinetic energy does this plane have when it flies at 50 m/s? E k = ½ m x v 2 = ½ x 1000 x 50 2 = 1000kg mass 50m/s

13. Mass kg Weight N Velocity m/s Kinetic Energy J Momentu m kgm/s 440520 410 415 60530 525 6300 80256 813 10030 850170 136785 504

14. Mass kg Weight N Velocity m/s Kinetic Energy J Momentu m kgm/s 44055020 44010200 44015450 66057530 220525 6606010300 8808256 88013676 10010003045 000 858502170 80.3803136785 550440

15. Momentum Momentum is a property of moving objects: p = m x v p is momentum in kilograms metres per second, kg m/s m is the mass in kilograms, kg v is the velocity in metres per second, m/s

16. How much momentum does this plane have when it flies at 50 m/s? p = m x v p = 1000 x 50 p = 50 000 kg m/s 1000kg mass 50m/s

17. Conservation of momentum The total momentum before an event is equal to the total momentum after the event.

18. Conservation of momentum

19. Mass kg Weight N Velocity m/s Kinetic Energy J Momentu m kgm/s 44055020 44010200 44015450 66057530 220525 6606010300 8808256 88013676 10010003045 000 858502170 80.3803136785 550440

20. Mass kg Weight N Velocity m/s Kinetic Energy J Momentu m kgm/s 44055020 4401020040 4 1545060 6 57530 22052510 66060 30060 880825664 88013676104 10010003045 0003000 858502170 80.38031367851044 55044020