An airplane has a mass of 33,000 kg and takes off under the influence of a constant net force of 38,000 N. What is the net force that acts on the plane's 71 kg pilot?
From Newton's second law: F=ma
Given:
Total mass=33000+71kg
F=38000N
Calculate acceleration of plane & pilot, a.
Force on pilot=mass of pilot*acceleration
To find the net force acting on the pilot, we need to use the concept of Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula for calculating the net force is:
Net force (F_net) = mass (m) × acceleration (a)
We can rearrange this formula to solve for acceleration:
acceleration (a) = Net force (F_net) / mass (m)
Given:
Mass of the airplane (m_airplane) = 33,000 kg
Net force acting on the airplane (F_net) = 38,000 N
We can use these values to find the acceleration of the airplane:
acceleration (a_airplane) = F_net / m_airplane
= 38,000 N / 33,000 kg
Now that we have the acceleration of the airplane, we can calculate the net force acting on the pilot. The mass of the pilot (m_pilot) is given as 71 kg. We can use the formula:
Net force on the pilot (F_pilot) = m_pilot × a_airplane
Substituting the values:
Net force on the pilot (F_pilot) = 71 kg × acceleration (a_airplane)