Question

What force do the jet engines generate to accelerate the plane from rest to 370 m/s in about 21 seconds, given that the airplane has a mass of 12450 kg?

A) 220,000 N
B) 124,500 N
C) 370,000 N
D) 187,000 N

Answer 1

To find the force that jet engines generate to accelerate the airplane, we calculate the acceleration and then use Newton's second law. The calculated force is approximately 220,000 N, making answer choice (A) 220,000 N the correct one.

Step-by-step explanation:

The force generated by jet engines to accelerate an airplane from rest to 370 m/s in about 21 seconds can be calculated using Newton's second law of motion, which states that force equals mass times acceleration (F = m * a). To find the acceleration (a), we use the formula a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time. The change in velocity (Δv) is from 0 m/s to 370 m/s, and the change in time (Δt) is 21 seconds.

First, we compute the acceleration: a = 370 m/s / 21 s = 17.62 m/s². Then, using the mass of the airplane (m = 12450 kg), we can find the force (F) using F = m * a: F = 12450 kg * 17.62 m/s² = 219,369 N, which rounds to 220,000 N, so the correct answer is (A) 220,000 N.