1. Calculate the acceleration:
* Newton's Second Law: Force (F) = Mass (m) * Acceleration (a)
* Rearranging to find acceleration: a = F / m
* Plugging in the values: a = -3000 N / 3000 kg = -1 m/s²
* The negative sign indicates deceleration (slowing down).
2. Calculate the stopping time:
* Constant Acceleration Equation: v_f = v_i + at
* v_f = final velocity (0 m/s since the car stops)
* v_i = initial velocity (10 m/s)
* a = acceleration (-1 m/s²)
* t = time
* Rearranging to find time: t = (v_f - v_i) / a
* Plugging in values: t = (0 - 10) / -1 = 10 seconds
3. Calculate the stopping distance:
* Constant Acceleration Equation: d = v_i * t + (1/2) * a * t²
* Plugging in values: d = (10 m/s) * (10 s) + (1/2) * (-1 m/s²) * (10 s)²
* Simplifying: d = 100 m - 50 m = 50 m
Therefore, the stopping distance for the car is 50 meters.