I understand that I have to use newtons laws of motion but I don't really get how to aplly them to this problem. Please help.
An aircraft with a mass of 11000kg moving at constant speed and altitude is powered by propellers and experiences drag from air. The thrust is 225kN and the drag force is 10V2.
Calculate the aircrqafts speed in level flight.
net force=mass*acceleration
acceleration is zero.
net force=0
thrust=dragforce
225kN=10V^2
solve for V
I was forgetting that it was kN so I was using 225 instead of 225000! The answer is 150m/s, am I right? If I am right thanks for your help, if not I need more.
To apply Newton's laws of motion to this problem, we need to consider the forces acting on the aircraft and how they affect its motion.
In this case, the relevant forces are thrust and drag. Thrust is the force produced by the aircraft's propellers that propels it forward, while drag is the resistance force experienced by the aircraft due to air resistance.
Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, since the aircraft is moving at constant speed, we know that its acceleration is zero. Therefore, the net force acting on the aircraft must also be zero.
Mathematically, we can represent this as:
Thrust - Drag = 0
Given that the thrust is 225kN and the drag force is 10V^2, we can rewrite the equation as:
225kN - 10V^2 = 0
Now, let's solve for the aircraft's speed.
First, convert the 225kN thrust into Newtons by multiplying it by 1000:
225kN * 1000 = 225000N
Now, we can rearrange the equation to solve for V:
10V^2 = 225000
Divide both sides by 10:
V^2 = 22500
Take the square root of both sides:
V = √22500
V ≈ 150 m/s
Therefore, the aircraft's speed in level flight is approximately 150 m/s.