A plane has a loaded mass of 115,000 kg. It's shown travelling north at a speed of 825 km/h and banking at an angle of θ = 18° in level flight.

Find the magnitude of the vertical component of the lift vector.

If it is in level flight the vertical component of lift is equal to the weight

= m g =115,000 * 9.81 Newtons

Thank you so much

You are welcome.

To find the magnitude of the vertical component of the lift vector, we need to use the concept of forces acting on the plane.

In level flight, the vertical component of the lift vector counteracts the weight of the plane. We can calculate the weight of the plane using the equation:

Weight = mass * acceleration due to gravity

Given that the loaded mass of the plane is 115,000 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight:

Weight = 115,000 kg * 9.8 m/s^2

Next, we need to calculate the lift force. The lift force is perpendicular to the direction of motion and can be resolved into two components: the vertical component and the horizontal component.

The vertical component of the lift force is given by:

Vertical Component = Lift * cos(θ)

where θ is the angle at which the plane is banking.

Finally, we can substitute the known values into the equation to find the magnitude of the vertical component of the lift vector:

Vertical Component = Weight * cos(θ)

Calculating the magnitude of the vertical component of the lift vector would involve substituting the values of weight and the angle θ into the equation and evaluating it using a calculator.