An airplane has a mass of 2.56x10^4 kg and takes off under the influence of a constant net force of 1.90x10^4 N. What is the net force that acts on the planes 84.5-kg pilot?
F=ma, so the plane's acceleration is
1.90/2.56 = 0.74 m/s^2
add to that the acceleration due to gravity
then multiply by the pilot's mass, since F = ma
To find the net force acting on the pilot, we first need to understand that the mass of the pilot is different from the mass of the airplane. The mass of the pilot is given as 84.5 kg.
The net force that acts on the pilot can be calculated using Newton's second law of motion, which states that the net force is equal to the mass of an object multiplied by its acceleration. Mathematically, this is represented by the formula:
F = m * a
where:
F is the net force,
m is the mass of the object, and
a is the acceleration.
In this case, we are given the net force acting on the airplane, but we need to find the acceleration of the pilot. The acceleration of the pilot can be determined using the same formula, rearranged to solve for acceleration:
a = F / m
Substituting the given values, we have:
a = (1.90x10^4 N) / (84.5 kg)
Now we can calculate the acceleration:
a ≈ 225.13 m/s²
Now that we have the acceleration, we can use it to find the net force acting on the pilot. Again using Newton's second law:
F = m * a
F = (84.5 kg) * (225.13 m/s²)
Calculating this, we get:
F ≈ 19,022.15 N
Therefore, the net force acting on the 84.5 kg pilot is approximately 19,022.15 N.
To find the net force acting on the pilot, we need to use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration. The formula is:
F = m * a
Where:
F is the force acting on the object
m is the mass of the object
a is the acceleration of the object
In this case, we know the mass of the pilot is 84.5 kg, and we need to find the net force acting on the pilot. Since the force acting on the airplane is given, we can assume that the force acting on the pilot is the same.
So, the net force acting on the pilot is:
F = m * a
F = (84.5 kg) * a
Now, since the net force acting on the plane is given to be 1.90x10^4 N, we can set up the equation like this:
1.90x10^4 N = (84.5 kg) * a
To solve for "a," we can rearrange the equation as follows:
a = (1.90x10^4 N) / (84.5 kg)
Now we can calculate the acceleration "a" using a calculator:
a ≈ 225.44 m/s^2
So, the net force acting on the pilot is approximately 225.44 m/s^2.