An airplane has a mass of 33500 kg and takes off under the influence of a constant net force of 41500 N. What is the net force that acts on the plane's 82 kg pilot?
To find the net force acting on the pilot, we need to use Newton's Second Law of Motion, which states that the force on an object is equal to its mass multiplied by its acceleration (F = m * a).
Since we're given the mass of the plane and the force acting on it, we can find the acceleration of the plane using the same equation:
F = m * a
Rearranging the equation, we have:
a = F / m
Plugging in the given values, we have:
a = 41500 N / 33500 kg
Calculating this, we find:
a ≈ 1.2388 m/s²
Now, we can find the net force acting on the pilot using the equation:
F = m * a
Plugging in the mass of the pilot, we have:
F = 82 kg * 1.2388 m/s²
Calculating this, we find:
F ≈ 101.6876 N
Therefore, the net force acting on the pilot is approximately 101.6876 N.
To find the net force acting on the pilot, we can use Newton's second law of motion, which states that the net force is equal to the product of mass and acceleration.
Here's how we can calculate it step-by-step:
Step 1: Identify the given values:
- Mass of the airplane (m1) = 33500 kg
- Net force acting on the airplane (F1) = 41500 N
- Mass of the pilot (m2) = 82 kg
Step 2: Find the acceleration of the airplane:
Using Newton's second law, we can find the acceleration of the airplane:
F1 = m1 * a1
41500 N = 33500 kg * a1
a1 = 41500 N / 33500 kg
a1 ≈ 1.24 m/s²
Step 3: Find the net force acting on the pilot:
We can now use Newton's second law to find the net force acting on the pilot:
F2 = m2 * a1
F2 = 82 kg * 1.24 m/s²
F2 ≈ 101.68 N
Therefore, the net force acting on the pilot is approximately 101.68 N.