a pendulum hanging from the ceiling of a train traveling with constant speed deviates 37 ° from the vertical when the train describes a curve of 60 m radius determines the train's rapids

21 m/s

Explanation:

There are three forces on the pendulum:

Weight force mg pulling down,

Vertical tension component Tᵧ pulling up,

and horizontal tension component Tₓ pulling towards the center of the curve.

Sum of forces in the y direction:

∑F = ma

Tᵧ − mg = 0

T cos 37° = mg

T = mg / cos 37°

Sum of forces in the centripetal direction:

∑F = ma

Tₓ = mv²/r

T sin 37° = mv²/r

(mg / cos 37°) sin 37° = mv²/r

g tan 37° = v²/r

v = √(gr tan 37°)

v = √(9.8 m/s² × 60 m × tan 37°)

v = 21 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:

cant without the picture! ?