Final answer:
The acceleration of the car, when subjected to a braking force of 5.0 x 10^2 Newtons and with a mass of 1.0 x 10^3 kilograms, is 0.5 m/s^2. The correct answer is Option 1: 0.5 m/s².
Step-by-step explanation:
The subject of this question is a Physics problem related to Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). To find the acceleration a car experiences when applying a braking force, you can isolate the acceleration (a) in the formula.
Given the mass (m) of the car and the force (F) applied, the acceleration (a) is calculated as a = F/m.
The question states that a 1.0 x 103 kilogram car is slowed by a 5.0 x 102 Newton braking force. The calculation is as follows:
a = F/m = 5.0 x 102 N / 1.0 x 103 kg = 0.5 m/s2.
Therefore, the acceleration of the car is 0.5 m/s2, which corresponds to Option 1.