To calculate the braking force, we need to calculate the acceleration. The following equation can be used.
vf = vi + a * t
To solve this problem, the unit of velocity should be converted from km/h to m/s. One kilometer is 1,000 meters. One hour is 3,600 seconds,
One km/h = 1,000/3600
To reduce this fraction to simplest terms, divide the numerator and denominator by 200.
One km/h = 5/18 m/s
v = 5/18 * 36 = 10 m/s
10 = 50 + a * 8
a = -5 m/s^2
Now we can calculate the braking force.
F = m *a = 1,500 * -5 = -7,500 N
Let’s use the following equation to calculate the distance the car moves as its velocity decreases from 50 m/s to 0 m/s.
vf^2 = vi^2 + a * a * d
0 = 50^2 + 2 * -5 * d
d = 2,500 ÷ 10 = 250 meters
I hope this helps you to understand how to solve this type of problem.