A car weighing 5 tons moves at a speed of 40 km | h, determine the braking force when the speed
A car weighing 5 tons moves at a speed of 40 km | h, determine the braking force when the speed decreases by 20 km | h.
m = 5 t = 5000 kg.
V1 = 40 km / h = 11.2 m / s.
V2 = 20 km / h = 5.5 m / s.
t = 30 s.
Ftr -?
When braking, the car moves only under the influence of the friction force Ftr.
2 Newton’s law will have the form: Ftr = m * a, where m is the mass of the car, a is the acceleration of the car.
Let us write down the formula for acceleration, and for the car: a = (V1 – V2) / t, where V1, V2 are the initial and final speed of movement, t is the time of speed change.
The formula for determining the friction force Ffr will take the form: Ffr = m * (V1 – V2) / t.
Ftr = 5000 kg * (11.2 m / s – 5.5 m / s) / 30 s = 950 N.
Answer: during braking, the friction force is Ftr = 950 N.