Physics - Stopping Distances

2020-10-08
2 min read
What is the formula for stopping distances??

$$ \text{stopping distance} = \text{thinking distance} + \text{braking distance} $$

What affects reaction time in the context of stopping distances??
  • Tiredness
  • Alcohol
  • Drugs
  • Other passengers
What are the two factors that affect stopping distance??
  • Reaction time
  • Speed of the vehicle
Assuming a constant velocity ($v$) during reaction time, what is the formula for thinking distance??

$$ s = vt $$

What are the three factors that affect braking distance??
  • Breaking force
  • Mass of vehicle
  • Velocity
What things can affect the breaking force??
  • Break conditions
  • Tire conditions
  • Road conditions
A larger vehicle mass has what affect on braking distance??

A larger breaking distance.

When a car is in motion, what’s the kinetic energy of the car??

$$ \frac{1}{2} m v^2 $$

Where is the kinetic energy of a car transferred to when braking??

Transferred to the thermal store of the breaks and the surroundings.

What is the work done by a car when it’s breaking??

$$ W = F \times s $$

When a car is breaking and the energy is being calculated by $W = F \times s$, what does $F$ represent??

The breaking force of the car.

What are the units for work done??

joules, $J$

What must be true about the kinetic energy of a car and the work done when breaking??

They must be equal.

What is the formula for the kinetic energy of a car in relation to work done??

$$ \frac{1}{2} m v^2 = F \times s $$

What is the formula for breaking distance involving mass, velocity and breaking force??

$$ \frac{1}{2} m v^2 = F \times s $$

What is the formula for breaking distance involving velocity and acceleration??

$$ \text{breaking distance} = \frac{(initial velocity)^2}{2 \times \text{acceleration}} $$

What does a $2\times$ initial velocity translate to in terms of breaking distance??

$4\times$ the breaking distance.

The breaking distance equation involving velocity and acceleration is a special case of which SUVAT equation??

$$ v^2 = u^2 + 2as $$

If a truck is exerts a breaking force of $8700N$ and has a mass of $2300kg$, how could you calculate the acceleration??

$$ \text{8700N}{2300kg} \\ F = ma $$


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date: 2020-10-08 17:33
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title: Physics - Stopping Distances