an airplane has a mass of 3.1*10^4kg and takes off under the influence of a constant net force of 3.7*10^4N. what is the net force that acts on the plane's 78-kg pilot?
can anyone give me some hints to do this?THX A LOT!
The net force on the pilot is just the familiar f=ma. The mass of the pilot is given. The acceleration of the pilot should be the same as the acceleration of the plane. The forumula f=ma can be rearranged to a=f/m. f and m are given for the plane. Solve for the acceleration of the plane, and then use that to find the net force on the pilot.
To solve this problem, you can 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
In this case, you are given the mass of the airplane and the net force acting on it. You need to find the net force acting on the pilot. Since the pilot is inside the airplane and attached to it, the force acting on the pilot will be the same as the force acting on the airplane.
To find the net force acting on the pilot, you can follow these steps:
1. Find the acceleration of the airplane using Newton's second law. Rearrange the equation to solve for acceleration:
a = F / m
2. Substitute the given net force and mass of the airplane into the equation and calculate the acceleration.
3. Since the pilot is experiencing the same acceleration as the airplane, you can then use Newton's second law to calculate the net force acting on the pilot:
F = m * a
4. Substitute the mass of the pilot and the calculated acceleration into the equation and solve for the net force acting on the pilot.
To find the net force acting on the plane's pilot, you need to apply Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Here are some steps to help you solve this problem:
1. Calculate the acceleration of the airplane by dividing the net force acting on it by its mass:
Acceleration = Net Force / Mass of the airplane
2. Once you have the acceleration of the airplane, you can assume that the pilot experiences the same acceleration since they are both in the same system. Therefore, the net force acting on the pilot can be found using Newton's second law:
Net Force (on the pilot) = Mass of the pilot * Acceleration
Now you can apply these steps to solve the problem:
1. Calculate the acceleration of the airplane:
Mass of the airplane = 3.1 * 10^4 kg
Net Force (on the airplane) = 3.7 * 10^4 N
Acceleration = Net Force (on the airplane) / Mass of the airplane
2. Calculate the net force acting on the pilot:
Mass of the pilot = 78 kg
Net Force (on the pilot) = Mass of the pilot * Acceleration
By following these steps and plugging in the given values, you can calculate the net force that acts on the plane's pilot.