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Energy formulas- guess and
match
 Heat energy
 Kinetic Energy (motion)
 Gravitational Potential
Energy
 Photon Energy (EM
radiation)
Transport Engineering
1
Physics on the Road
Lesson 12
LI…
 Investigate stopping distances
 Use graphs to analyse stopping distances
Stopping distances - revision
Stopping distances – made up
of 2 parts
Plotting graph - data
Speed km/h Speed m/s Reaction
distance/ m
Braking
distance /m
Stopping
distance /m
50 21 21
60 25 31
70 29 42
80 33 55
90 37 70
100 42 85
110 46 104
Plot a graph of reaction distance against speed and braking
distance against speed
Analysing the graphs
1. Use the gradient of the first graph and v=s/t to calculate the
reaction time used. Draw a conclusion.
2. What do you notice about the speed against braking distance
graph? Plot a new graph to investigate.
3. Use the equations of motion and the table below to plot a graph
of braking time against speed. What do you notice?
Initial speed (u)
m/s
u2 s a t
LI…
 Use ideas of work done, momentum and
kinetic energy to explain vehicle motion
 Use W=Fd (or E=Fd), p=mv and Ek= ½ mv2
Braking – what happens
 A moving object has
kinetic energy
 A stationary object has
none
 Brakes apply a force on
the wheels
 The brakes use
frictional forces
 Brake discs and shoes
heat up
KE
Force
Braking distance
Work done = force x distance
Work done is energy and
measured in Joules (J)
Work done and kinetic energy
 Brakes do work (apply
a force over a distance)
to transfer the kinetic
energy of the vehicle.
1. Explain your speed
braking distance
graphs using these
ideas
2. A goods train has
mass of 2400 tonnes
and travels at
100km/h. Calculate
it’s kinetic energy. It
takes 1 ½ km to
stop. Calculate the
force of it’s brakes.
Work done = kinetic energy
by brakes of vehicle
Fd = ½ mv2
For a braking vehicle
F - the brake force
d – braking distance
m- mass of the vehicle
V – is the speed of the vehicle
Momentum
 Momentum of an object
depends upon it’s mass and
velocity.
 As a vehicle brakes it’s
velocity and so it’s
momentum is reduced over
time
 So when a car brakes the
loss of momentum is the
braking force applied over
time.
Force x time = mass x acceleration x time
momentum = mass x velocity p=mv
F x t= m x a x t
Ft = m x v-u x t
t
Ft = mv - mu
Ft=Δp
a=v-u/t
Force x time = change in momentum

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Physics On the Road-Lesson 12

  • 1. Energy formulas- guess and match  Heat energy  Kinetic Energy (motion)  Gravitational Potential Energy  Photon Energy (EM radiation)
  • 3. LI…  Investigate stopping distances  Use graphs to analyse stopping distances
  • 5. Stopping distances – made up of 2 parts
  • 6. Plotting graph - data Speed km/h Speed m/s Reaction distance/ m Braking distance /m Stopping distance /m 50 21 21 60 25 31 70 29 42 80 33 55 90 37 70 100 42 85 110 46 104 Plot a graph of reaction distance against speed and braking distance against speed
  • 7. Analysing the graphs 1. Use the gradient of the first graph and v=s/t to calculate the reaction time used. Draw a conclusion. 2. What do you notice about the speed against braking distance graph? Plot a new graph to investigate. 3. Use the equations of motion and the table below to plot a graph of braking time against speed. What do you notice? Initial speed (u) m/s u2 s a t
  • 8. LI…  Use ideas of work done, momentum and kinetic energy to explain vehicle motion  Use W=Fd (or E=Fd), p=mv and Ek= ½ mv2
  • 9. Braking – what happens  A moving object has kinetic energy  A stationary object has none  Brakes apply a force on the wheels  The brakes use frictional forces  Brake discs and shoes heat up KE Force Braking distance Work done = force x distance Work done is energy and measured in Joules (J)
  • 10. Work done and kinetic energy  Brakes do work (apply a force over a distance) to transfer the kinetic energy of the vehicle. 1. Explain your speed braking distance graphs using these ideas 2. A goods train has mass of 2400 tonnes and travels at 100km/h. Calculate it’s kinetic energy. It takes 1 ½ km to stop. Calculate the force of it’s brakes. Work done = kinetic energy by brakes of vehicle Fd = ½ mv2 For a braking vehicle F - the brake force d – braking distance m- mass of the vehicle V – is the speed of the vehicle
  • 11. Momentum  Momentum of an object depends upon it’s mass and velocity.  As a vehicle brakes it’s velocity and so it’s momentum is reduced over time  So when a car brakes the loss of momentum is the braking force applied over time. Force x time = mass x acceleration x time momentum = mass x velocity p=mv F x t= m x a x t Ft = m x v-u x t t Ft = mv - mu Ft=Δp a=v-u/t Force x time = change in momentum