Question

What is the deceleration of an 1100 kg car traveling on a straight highway with a speed of 30 m/s when the driver applies the brakes, exerting a constant braking force of 4 kN?

a. 0.036 m/s²
b. 0.09 m/s²
c. 0.15 m/s²
d. 0.40 m/s²

Answer 1

The deceleration of the car is approximately 3.64 m/s².

Step-by-step explanation:

To find the deceleration of the car, we can use the equation: deceleration = braking force / mass of the car. We are given that the mass of the car is 1100 kg and the braking force is 4 kN. However, we need to convert the braking force to Newtons by multiplying it by 1000, since there are 1000 N in 1 kN. So, the braking force is 4000 N. Substituting these values into the equation, we get: deceleration = 4000 N / 1100 kg = 3.64 m/s² Rounding to two decimal places, the deceleration of the car is approximately 3.64 m/s². Therefore, the correct answer is not one of the options provided.