The aircraft has a take-off mass of 320 000 kg. Each of the 4 engines can produce a maximum force of 240 kN.

calculate the maximum acceleration of the aircraft.

the answer is 3m/s^2 but i don't know how to get it.

a=4F/m =4•240000/320000=3m/s^2

Huij

To calculate the maximum acceleration of the aircraft, we need to use 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 = m * a).

Given:
- Take-off mass of the aircraft (m) = 320,000 kg.
- Maximum force produced by each engine (F) = 240 kN = 240,000 N.
- Number of engines (n) = 4.

Since there are four engines, the total force exerted by all engines combined would be:
Total force (F_total) = F * n = 240,000 N * 4 = 960,000 N.

Using Newton's second law of motion, we can rearrange the equation to solve for acceleration:
acceleration (a) = F_total / m.

Substituting the known values, we get:
a = 960,000 N / 320,000 kg = 3 m/s^2.

Therefore, the maximum acceleration of the aircraft is 3 m/s^2.

To calculate the maximum acceleration of the aircraft, we need to use 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.

Given:
Take-off mass of the aircraft = 320,000 kg
Maximum force produced by each engine = 240 kN

Step 1: Convert the mass of the aircraft to Newtons (N)
Since the unit of force is in Newtons, we need to convert the mass of the aircraft from kilograms to Newtons. We can do this by multiplying the mass by the acceleration due to gravity, which is approximately 9.8 m/s^2.
Mass of the aircraft = 320,000 kg * 9.8 m/s^2 = 3,136,000 N

Step 2: Calculate the total force produced by all four engines
Since each engine can produce a maximum force of 240 kN and there are four engines, the total force they can generate is:
Total force = 240 kN * 4 = 960 kN

Step 3: Convert the total force to Newtons (N)
To calculate the acceleration, we need the total force in Newtons. Therefore, we need to convert the total force from kilonewtons to Newtons by multiplying it by 1000.
Total force = 960 kN * 1000 N/kN = 960,000 N

Step 4: Calculate the maximum acceleration
Using Newton's second law of motion, we can rearrange the formula to solve for acceleration:
Acceleration = Force / Mass
Acceleration = 960,000 N / 3,136,000 N = 0.306

The maximum acceleration of the aircraft is approximately 0.306 m/s^2, which rounds to 0.31 m/s^2 when rounded to two decimal places. Therefore, given that the answer is 3 m/s^2, it seems like there might be a mistake or additional information required to arrive at that value.