the brakes of a 1000kg car exert a force pf 5000N. How long will it take for them to slow the car to a stop from an initial speed of 24m/s?
Try using the equation
F = m a
You know F amd m. Solve for the deceleration rate, a.
The time it takes to stop is Vo/a, where Vo is the initial velocity.
safafsa
To calculate the time it takes for the brakes to slow the car to a stop, we can use the equation of motion:
v = u + at
where:
v = final velocity (0 m/s since the car comes to a stop)
u = initial velocity (24 m/s)
a = acceleration (unknown)
t = time (unknown)
We need to find the acceleration (a) first.
The force exerted by the brakes (F) can be related to the acceleration by the equation:
F = ma
where:
m = mass of the car (1000 kg)
F = force exerted by the brakes (5000 N)
Rearranging the equation:
a = F/m
Substituting the values:
a = 5000 N / 1000 kg
a = 5 m/s^2
Now that we have the acceleration, we can solve for time (t) using the first equation:
0 = 24 m/s + 5 m/s^2 * t
Rearranging the equation:
t = -24 m/s / 5 m/s^2
t = -4.8 s
Since time cannot be negative, we discard the negative sign:
t = 4.8 seconds
Therefore, it will take approximately 4.8 seconds for the brakes to slow the car to a stop from an initial speed of 24 m/s.