Ajet airliner moving initially at 858 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 777 mph in a direction 38◦ north of east. what is the new speed of the aircraft with respect to the ground?

1546.2 mph

Explanation:

The new speed of the aircraft will be the magnitude of the resultant velocity due to the velocity of the aircraft + the velocity of the wind.

The components of the initial velocity of the jet are:

where we took east as positive x-direction and north as positive y-direction.

The components of the wind's velocity are

So the components of the resultant velocity are

And so, the new speed of the plane respect to the ground is

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: