Calculating Stopping Distance: 50km/h vs 150km/h Car Speeds

  • Thread starter janes3kids@yahoo.com
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In summary, the conversation discusses the distance a car will skid to a halt at different speeds and the factors that affect it. The summary concludes that the distance of skid is proportional to the car's kinetic energy, which is affected by its velocity. Therefore, if the car is going at 150 km/h, it will skid 9 times farther than if it was going at 50 km/h, resulting in a distance of 180m. However, factors like air resistance and the shape of the car can also affect the distance.
  • #1
janes3kids@yahoo.com
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I got this one wrong on a test and I am debating it.
A car going 50 km/h skids to a halt going 20m. If the same car is going 150km/h how far will it skid til it comes to a halt.
a)20m b) 60m c) 180m
 
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  • #2
janes3kids@yahoo.com said:
I got this one wrong on a test and I am debating it.
A car going 50 km/h skids to a halt going 20m. If the same car is going 150km/h how far will it skid til it comes to a halt.
a)20m b) 60m c) 180m
The car does work in skidding: Work = Force*distance where Force is the kinetic friction force. Friction is a function of the normal force, which does not change. So Work is proportional to Distance of the skid.

The car's ability to do work is its kinetic energy. KE = W. Since [itex]KE = \frac{1}{2}mv^2[/itex] if you triple v, its energy goes up by a factor 3^2=9. So the distance of skid is 9 x 20 = 180 m.

AM
 
  • #3
Don't mean to be picky but since the car is 'skidding', the tires arent moving and its static friction.

<3 AM
 
  • #4
whozum said:
Don't mean to be picky but since the car is 'skidding', the tires arent moving and its static friction.
"skidding" implies that the tires slide against the ground (the wheels are locked), so there is slipping between the contact surfaces and kinetic friction applies. If the car stopped without skidding, then the tires would roll without slipping and static friction would apply.
 
  • #5
in fact it is less than 180 m due to the heigher-than-linear-order-dependence of air resistance force on velocity... how much exactly it differs depends on the car shape.
 

FAQ: Calculating Stopping Distance: 50km/h vs 150km/h Car Speeds

How is stopping distance calculated for a car traveling at different speeds?

Stopping distance is calculated by taking into account the reaction time of the driver and the braking distance of the car. The formula for calculating stopping distance is: stopping distance = reaction distance + braking distance. Reaction distance is the distance the car travels while the driver reacts to a potential hazard, and braking distance is the distance the car travels while braking to come to a complete stop.

How does speed affect stopping distance?

As the speed of a car increases, the stopping distance also increases. This is because the car needs more time and distance to come to a complete stop due to its kinetic energy. This means that a car traveling at 150km/h will have a longer stopping distance compared to a car traveling at 50km/h.

What factors affect the stopping distance of a car?

The main factors that affect the stopping distance of a car include the speed of the car, the condition of the road (e.g. wet or dry), the condition of the tires, and the reaction time of the driver. Other factors such as the weight and braking system of the car can also play a role.

Why is it important to calculate stopping distance?

Calculating stopping distance is important for ensuring road safety. It allows drivers to understand the amount of time and distance needed for their car to come to a complete stop in different scenarios. This information can help prevent accidents and save lives.

Are there any limitations to calculating stopping distance?

Yes, there are limitations to calculating stopping distance. The formula used to calculate stopping distance assumes that the driver has normal reaction time and the road conditions are optimal. In reality, factors such as distractions, fatigue, and road conditions can affect the actual stopping distance of a car. Additionally, the formula does not take into account external factors such as other vehicles or obstacles on the road, which can also impact stopping distance.

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