Final answer:
The car's engine produces a force of 3300 N when it accelerates from 15 m/s to 35 m/s in 10 seconds, according to the formula F = ma. None of the provided options match this calculated force.
Step-by-step explanation:
To calculate the force the car's engine is producing, we need to use Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma). First, we find the acceleration (a) of the car by using the formula for acceleration a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time taken to change the velocity.
The initial velocity (v_i) is 15 m/s, the final velocity (v_f) is 35 m/s, and the time (t) is 10 seconds. So the acceleration is a = (35 m/s - 15 m/s) / 10 s = 20 m/s² / 10 s = 2 m/s². With the mass (m) of the car being 1650 kg and the acceleration (a) being 2 m/s², we can find the force (F) using F = ma = 1650 kg × 2 m/s² = 3300 N.
Since none of the provided options (A) 110 N, (B) 165 N, (C) 220 N, (D) 275 N) matches our calculation, it seems there may be an error in the question or the options provided. The correct force calculated is 3300 N, which is not reflected in the options.