ENERGY EQUATIONS By the end of this presentation you should be able to: Calculate kinetic energy, work and power.
Energy Equations Mechanical energy _________ energy is the energy an object has because of its speed (or _________ ). The faster it is moving, the _________ its _________ energy will be. KINETIC VELOCITY GREATER KINETIC KINETIC ENERGY (KE) = 1 x m x v2 2 Where m= mass (kg) , v = speed or velocity (m/s)
Question 1 How much kinetic energy does this car have? Mass = 2000 kg Velocity = 40m/s Mass = 2000 kg Since k.e. = ½ mv2, then k.e. = ½ x 2000 x 40 x 40 So the car has 1 600 000J of kinetic energy (1600kJ)
The remaining equations The equations (and the units used for all the quantities) to calculate… Work done = Power = Force x distance J N m Energy transformed / time W J s
Work done question 5 Calculate how much work is done in pushing the crate with a force of 40N up the ramp. W = F x d = 40 x 5 = 200J 5m 40N
Work done question 6 Calculate how much work is done in lifting the crate, if its weight is 45N, to the top of the ramp (4m high). W = F x d = 45 x 4 = 180J The ramp supports some of the weight of the crate so allows a person to move it with a force smaller than the total weight, but the length of the ramp is greater than its height so more work is done using the ramp. The ramp does make the job easier however! Energy is also wasted while pushing the crate up the ramp due to friction. 4m 45N
Power and efficiency qu 7 and 8 The same crate is lifted to the top by an electric motor and pulley. It takes 20 seconds to do the job (180J of work). What is the power output of the motor? P = W / t = 180 / 20 = 9W (watts) The electric motor is actually rated at 15W (this means it is taking in 15J of electrical energy every second). What is the efficiency of this motor? 4m Efficiency = power output = 9 power input 15 = 0.6 = 60% 45N