MOVEMENT AND CHANGE Calculating Kinetic Energy
Kinetic Energy A running elephant has more kinetic energy than a running man, because it has more mass.
Kinetic Energy A racing car has more KE than a family car because it has higher speed.
Kinetic energy Kinetic energy depends on the mass and the velocity of an object.
Kinetic energy The formula for KE is: Kinetic energy = ½ x mass x velocity squared (joules) (kg) (m/s) 2
Kinetic energy KE = ½ mv 2
Kinetic energy Example 1 An elephant of mass 2000 kg travelling at 5 m/s has KE = ½ x 2000 x 5 x 5 = joules
Kinetic energy Example 2 Galileo drops a stone from the leaning tower of Pisa, which is 45 metres high. A what speed does the stone hit the ground?
Kinetic energy This is a tricky one – for A* students!
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved!
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom mass X 10 x height = ½ x mass x speed 2
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom mass X 10 x height = ½ x mass x speed 2
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom mass X 10 x height = ½ x mass x speed 2 10 x 45 = ½ x speed 2
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom mass X 10 x height = ½ x mass x speed 2 10 x 45 = ½ x speed 2 speed 2 = 10 x 45 x 2
Kinetic energy This is a tricky one – for A* students! Remember energy is conserved! gravitational energy at the top = KE at the bottom mass X 10 x height = ½ x mass x speed 2 10 x 45 = ½ x speed 2 speed 2 = 10 x 45 x 2 = 900 speed on impact = 30 m / s
Kinetic Energy Road safety The formula for KE has the speed squared. So if a car goes at three times the speed, it has nine times the energy and so the braking distance is nine times as long!
Speed of car (m/s) Driver’s thinking distance (m) Car’s breaking distance (m) Total stopping distance in metres in car-lengths