Apilot flies horizontally at 1300 km/h, at height h ! 35 m above initially level ground. however, at time t ! 0, the pilot begins to fly over ground sloping upward at angle u ! 4.3° (fig. 2-38). if the pilot does not change the airplane’s heading, at what time t does the plane strike the ground?

The pilot has only 1.3s before touching the ground.

Explanation:

This exercise the pilot flies horizontally and the ground rises slowly we can calculate the distance so that the ground is at the height of the plane, using trigonometry.

        tan θ = y / x

       x = y / tan θ

       x = 35 / tan 4.3

       x = 465.5 m

This is the distance that is needed for the ground with this inclination reaching the height of the plane. Now with the kinematic equations we can calculate the time it takes for the plane to travel this distance

Let's start with reducing the speed to SI units

       Vx = 1300 km/h (1000m / 1km) (1h / 3600 s)

       Vx = 361.1 m / s

       Vx = x / t

        t = x / Vx

        t = 465.5 / 361.1

        t = 1.3 s

The pilot has only 1.3s before touching the ground.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

double the distance = divide strength by 4