A plane is flying out of state of 70 km/h then a tail wind moving in the same direction as a plane at 5 km/h ask in the plane how is this plains net force calculated
In order to calculate the net force acting on the plane, we need to consider both the force of the plane's engine pushing it forward and the force of the tailwind pushing it from behind.
The force generated by the plane's engine is equal to its mass multiplied by its acceleration. Since the plane is flying at a constant speed, there is no net acceleration, so the force generated by the engine is zero.
The force generated by the tailwind is equal to the mass of the air multiplied by its acceleration. In this case, the acceleration is the velocity of the tailwind, which is 5 km/h.
To calculate the net force, we add the force generated by the engine (0) to the force generated by the tailwind (mass of air x 5 km/h).
Therefore, the net force on the plane is equal to the mass of the air multiplied by 5 km/h.
To calculate the net force acting on the plane, we need to consider both the force exerted by the plane itself (thrust) and the force exerted by the tailwind.
The force exerted by the plane can be calculated using the formula:
Thrust = Mass x Acceleration
Since we are given the speed of the plane as 70 km/h, we can convert it to meters per second (m/s) by dividing by 3.6:
70 km/h ÷ 3.6 = 19.44 m/s
Now, let's assume the mass of the plane is 5000 kg and the acceleration is the constant speed of the plane, the thrust can be calculated as:
Thrust = 5000 kg x 19.44 m/s = 97200 N
Now let's consider the force exerted by the tailwind. The force exerted by the tailwind can be calculated using the formula:
Force = Mass x Acceleration
Since we are given the speed of the tailwind as 5 km/h, we can convert it to meters per second (m/s) by dividing by 3.6:
5 km/h ÷ 3.6 = 1.39 m/s
Assuming the mass of the air affected by the tailwind is negligible compared to the mass of the plane, we can calculate the force exerted by the tailwind as:
Force = 0 (since we assume the mass is negligible) x 1.39 m/s = 0 N
Finally, to calculate the net force acting on the plane, we simply add the forces exerted by the plane and the tailwind:
Net Force = Thrust + Force exerted by the tailwind = 97200 N + 0 N = 97200 N
Therefore, the net force acting on the plane is 97200 Newtons.
To calculate the net force of the plane, we need to determine the force exerted by both the plane's engines and the tailwind. The net force can be found using the following formula:
Net Force = Force exerted by the plane's engines + Force exerted by the tailwind
Let's calculate it step by step:
1. Start by finding the force exerted by the plane's engines. This force can be determined using the equation:
Force = Mass × Acceleration
Here, we need to know the mass of the plane and the acceleration it is experiencing. However, since we are given the speed of the plane (70 km/h), we need to convert it to acceleration.
Acceleration = Speed / Time
Since we do not have information about the time, we cannot calculate the acceleration accurately. Therefore, let's assume that the plane is flying at a constant speed, which means the net force is zero because forces are balanced.
2. Now, let's calculate the force exerted by the tailwind. The force exerted by the tailwind can be determined using the equation:
Force = Mass × Acceleration
Here, the mass will be the same as the mass calculated in step 1, and the acceleration will be the speed of the tailwind (5 km/h).
Now, you can substitute the values into the equation and calculate the force exerted by the tailwind.
Please note that without knowing the mass and acceleration accurately or making assumptions about them, we cannot calculate the net force accurately.