Karen has a mass of 56.2 kg as she rides the up escalator at woodley park station of the washington d. c. metro. karen rode a distance of 60.4 m, one of the longest escalators in the world. the acceleration of gravity is 9.8 m/s 2 . how much work did the escalator do on karen if it has an inclination of 28.9 ◦ ?

W = 16.08 kJ

Explanation:

mass of Karen = 56.2 Kg

distance Karen rode(l) = 60.4 m

acceleration due to gravity = 9.8 m/s²

inclination of escalator with horizontal (θ)= 28.9◦

work escalator = ?

height at Karen has moved

    h = l sin θ

    h =60.4 x  sin 28.9°

    h = 29.19 m

Work done  = Δ PE

Work done  =  m g (Δ h)

Work done  =  56.2 x 9.8 x (29.19 - 0)

Work done  =  16076.68 J

W = 16.08 kJ

Work done by the escalator is equal to W = 16.08 kJ

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: