a plane is flying at the same speed of 70 kilometers per hour. Then a tailwind moving in the same direction as the plane of 5 kilometers per hour acts on the plane. how is the plane's net force calculated
The plane's net force can be calculated by subtracting the force opposing the motion of the plane (which is equal to the force of the tailwind) from the force propelling the plane forward.
First, we need to convert the plane's speed and the tailwind speed to the same unit. Let's consider meters per second (m/s).
The plane's speed is 70 kilometers per hour, which is equal to 70,000 meters per hour or 19.44 meters per second (70,000 m/h ÷ 3,600 s/h).
The tailwind speed is 5 kilometers per hour, which is equal to 5,000 meters per hour or 1.39 meters per second (5,000 m/h ÷ 3,600 s/h).
To calculate the plane's net force, we subtract the force of the tailwind (1.39 m/s) from the force propelling the plane forward (19.44 m/s):
Net force = 19.44 m/s - 1.39 m/s = 18.05 m/s.
Therefore, the plane's net force is 18.05 meters per second.
To calculate the net force acting on the plane, we need to consider the forces involved. In this case, we have the force of drag (opposing the direction of motion) and the force of the tailwind (in the same direction as the plane). The net force is the vector sum of these two forces.
The force of drag can be calculated using the formula:
Drag force = (0.5 * coefficient of drag * air density * velocity^2 * reference area)
However, since the plane is flying at a constant speed, the force of drag is balanced by the force of thrust. Therefore, the net force acting on the plane is zero.
The force of the tailwind, which is in the same direction as the plane's motion, doesn't impact the net force in this case because it does not directly counteract the drag force. The tailwind simply increases the plane's speed without affecting its net force.
So, in this scenario, the net force acting on the plane is zero.
The net force on the plane can be calculated by subtracting the opposing forces from the driving force. In this case, the driving force is the speed of the plane, which is 70 kilometers per hour. The opposing force is the tailwind, which has a speed of 5 kilometers per hour.
To calculate the net force, subtract the speed of the tailwind from the speed of the plane:
Net Force = Speed of the Plane - Speed of the Tailwind
Net Force = 70 km/h - 5 km/h
Net Force = 65 km/h
Therefore, the net force on the plane is 65 kilometers per hour.