v = u + at
where:
v is the final velocity (0 m/s, since the car is stopping)
u is the initial velocity (10 m/s)
a is the acceleration (which is negative, since the car is decelerating)
t is the time taken (5 seconds)
Substituting the values given into the equation, we get:
0 = 10 + a * 5
Solving for a, we get:
a = -2 m/s^2
The negative sign indicates that the acceleration is in the opposite direction to the initial velocity, which is what we expect for a braking force.
Now, we can use the equation F = ma to calculate the braking force required:
F = m * a
Substituting the values of m and a into the equation, we get:
F = 900 kg * -2 m/s^2
F = -1800 N
The negative sign indicates that the braking force is acting in the opposite direction to the motion of the car.
Therefore, the braking force required to stop the car in 5 seconds is 1800 N.
