Question

Your 1500-kg sports car accelerates from 0 to 30 m/s in 10 s. What average force is exerted on it during this acceleration?

a) 45 N
b) 450 N
c) 4,500 N
d) 15,000 N

Answer 1

The average force exerted on the sports car during acceleration is 4500 N.

Step-by-step explanation:

To calculate the average force exerted on the sports car during acceleration, we need to use Newton's second law of motion, which states that force (F) equals mass (m) multiplied by acceleration (a). In this case, the car's mass is 1500 kg and the time of acceleration is 10 s. To find the acceleration, we can use the formula: acceleration (a) equals change in velocity (Δv) divided by time (t). The change in velocity is 30 m/s (final velocity) minus 0 m/s (initial velocity), and the time is 10 s. Plugging in these values, we get: a = (30 m/s - 0 m/s)/10 s = 3 m/s².

Now, we can calculate the average force: F = m * a = 1500 kg * 3 m/s² = 4500 N. Therefore, the average force exerted on the sports car during acceleration is 4500 N, which is option c).