YOU ARE LEARNING:
Estimating Forces in Deceleration
Estimating Forces in Deceleration
We will learn to estimate the forces applied to result in deceleration of a car.
Will a car travelling at a high speed, requires more or less braking force to stop in the same stopping distance as a car travelling at a lower speed?
Complete this sentence: A larger braking force means a larger _________
If a vehicle accelerates at 25 m/s2, it will speed up in the direction of motion. If it accelerates at −25 m/s2, how would you describe the motion of the vehicle?
We can estimate deceleration and the forces involved by using typical values and the formula for acceleration. We use the symbol ∼ to denote that a value is approximate.
We want to estimate the deceleration of a vehicle, using the formula v2−u2=2as
If v2−u2 gives us the change in velocity, and u is the initial velocity, what is v?
To find a change of velocity, use v2−u2.
This means you should subtract the square of the initial velocity, from the square of the final velocity.
If a vehicle is travelling at at typical speed of ∼13 m/s, and decelerates to a stop, what is the change in velocity?
If v2−u2=2as, where a is acceleration and s is distance, how would you rearrange the formula to find the acceleration of a vehicle?
A) a=v2−u2×2s B) a=2sv2−u2
Answer A or B.
Use the formula a=2sv2−u2 to find the acceleration involved if a vehicle is travelling at at typical speed of ∼13 m/s, and decelerates to a stop in 34 metres. Give your answer to 1 decimal place, and with the correct units used for acceleration.
The acceleration of the vehicle is negative, meaning it is accelerating in the opposite direction to its motion.
If you are describing the deceleration of the vehicle, you simply remove the negative sign. Therefore, the vehicle is decelerating at a rate of 2.5 m/s
A car comes to an emergency stop in 60 metres when travelling on a motorway. A typical motorway speed is 27 m/s . Estimate the deceleration of the vehicle.
A car driver travelling at a typical speed of ∼12 m/s spots a hazard approximately 40 metres ahead. What magnitude of deceleration does he need in order to stop the car in time to prevent a collision?
A car is in motion on a road with a 40 mile per hour speed limit. A typical speed on this road is18 m/s . He applies his brakes and stops within approximately 40 metres. Estimate his deceleration and give your answer as a whole number with the correct unit for deceleration.
Using the deceleration you have estimated from typical speeds and braking distance, you can then estimate the braking force involved, using Newton's second law. What is Newton's second law?
A car driver applies his brakes and decelerates at a rate of 5 m/s2 . If a typical car has a mass of ∼1000 kg, estimate the braking force applied.
A car with a typical mass of ∼1000 kg is travelling at a typical motorway speed of ∼27 m/s . He decelerates to a stop in 50 metres in an emergency. Estimate the braking force applied.
Before you can find the force, you need to estimate the deceleration using the typical speed. What is the car's rate of deceleration? You can use the formula a=2sv2−u2. Give your answer in a whole number, with the correct unit for deceleration.
Now that you have estimated the deceleration, you can find the braking force using Newton's second law.
A small car with a mass of ∼700 kg is travelling at typical speed of ∼12 m/s. Another car is blocking the road, approximately 30 metres in the distance. Estimate the deceleration and braking force needed to bring the car to a complete stop within this distance.
What deceleration is needed? Give your answer to 1 decimal place, and with correct units.
What magnitude of braking force is needed to cause this deceleration?