Final answer:
To calculate the force of friction experienced by the car, you can use the equation: Force of friction = mass of the car × acceleration. By converting the car's initial velocity from km/h to m/s and using the formula for acceleration, we can calculate the force of friction to be 8332.5 N.
Step-by-step explanation:
To calculate the force of friction experienced by the car, we can use the equation:
Force of friction = mass of the car × acceleration
First, we need to convert the car's initial velocity from km/h to m/s:80.0 km/h = 80.0 × (1000/3600) m/s = 22.2 m/s
We can calculate the acceleration using the equation:Acceleration = change in velocity / time
The change in velocity is from 22.2 m/s to 0 m/s, so it is -22.2 m/s. The time is 4.00 seconds. Plugging these values into the equation:Acceleration = (-22.2 m/s - 0 m/s) / 4.00 s = -5.55 m/s^2
Now we can calculate the force of friction:Force of friction = (1500 kg) × (-5.55 m/s^2) = -8332.5 N
Since force cannot be negative, the force of friction experienced by the car is 8332.5 N.