An airplane has a mass of 34,500 kg and takes off under the influence of a constant net force of 45,000 N. What is the net force that acts on the plane's 80 kg pilot?
I am pretty sure gravity is down, so that makes mg down. Now the other force: What direction is it? If it is the force horizontal, then
F=ma in horizontal
45000=34580 a solve for a
then force on pilot horizontal is 80a
now you add horizontal force and gravity to get net force.
The problem here is I am pretty certain the plane is moving upward, indicating acceleration and the 45000 is not just horizontal.
(80/34,500) times the net force, since the pilot accelerates at the same rate as the plane. Force is proportional to mass.
To find the net force acting on the pilot, we need to consider Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
In this case, the mass of the pilot is given as 80 kg. However, we do not have information about the acceleration of the pilot directly.
Since the airplane and the pilot are part of the same system, we can assume that the acceleration of the pilot is the same as the acceleration of the airplane. This is because both the pilot and the airplane are experiencing the same force.
Using the given information, we know that the net force acting on the airplane is 45,000 N. We can now use this force along with the mass of the airplane to calculate the acceleration. The formula to calculate acceleration is:
Acceleration = Net Force / Mass
Substituting the values, we get:
Acceleration = 45,000 N / 34,500 kg
Calculating the acceleration, we find:
Acceleration = 1.304 N/kg
Since the pilot is part of the same system and experiences the same acceleration as the airplane, we can use this value to calculate the net force acting on the pilot.
Net force = Mass of the pilot * Acceleration
Substituting the values, we get:
Net force = 80 kg * 1.304 N/kg
Calculating the net force acting on the pilot, we find:
Net force = 104.32 N
Therefore, the net force that acts on the plane's pilot is 104.32 N.