An airplane flies horizontally at a speed of 489 km/h and drops a crate that falls into the horizontal ground below. neglect air resistance. a) if the altitude of the plane was 715m, then how far, horizontally in meters, did the crate move as it fell to the ground?
b) what was the speed of the crate, in m/s, just before it hit the ground?

a) x= 1618.3 m

b)V=180.59 m/s

Explanation:

Speed of plane = 489 Km/h

Speed of plane = 489  x 5/18 m/s = 135.33  m/s

Horizontal velocity of crate , u  = 135.33  m/s

h= 715 m

a)

In vertical direction

The initial velocity in vertical direction =0 m/s

t = 11.95 s

So the distance travel ,x= u .t

   x = 135. 33 x 11.95

x= 1618.3 m

b)

The speed of crate V

v=119.58 m/s

u  = 135.33

So the resultant velocity V

V=180.59 m/s

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:

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.