A 11.3 m long steel beam is accidentally dropped by a construction crane from a height of 9.50 m. The horizontal component of the Earth's magnetic field over the region is 18.5 μT. What is the induced EMF in the beam just before impact with the Earth, assuming its long dimension remains in a horizontal plane, oriented perpendicularly to the horizontal component of the Earth's magnetic field?

Question

Physics

Juliet Blair

17 September, 13:42

A 11.3 m long steel beam is accidentally dropped by a construction crane from a height of 9.50 m. The horizontal component of the Earth's magnetic field over the region is 18.5 μT. What is the induced EMF in the beam just before impact with the Earth, assuming its long dimension remains in a horizontal plane, oriented perpendicularly to the horizontal component of the Earth's magnetic field?

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Katelyn Leonard · Answer 1

2.85 mV

Explanation:

L = 11.3 m

h = 9.5 m

B = 18.5 μ T = 18.5 x 10^-6 T

g = 9.8 m/s^2

u = 0

Let the velocity is v

v^2 = u^2 + 2 g h

v^2 = 2 x 9.8 x 9.5 = 186.2

v = 13.65 m/s

Motional emf, e = B v L = 18.5 x 10^-6 x 13.65 x 11.3 = 2.85 x 10^-3 V

e = 2.85 mV