Problem 29.46 A very long, rectangular loop of wire can slde without friction on

Question

Problem 29.46 A very long, rectangular loop of wire can slde without friction on a horizontal surface. Initially the loop has part of its area in a region of uniform magnetic field that has magnitude B 3.30 T and is perpendicular to the plane of the loop. The loop has dimensions 4.00 cm by 60.0 cm, mass 24.0 g and resistance R m 8.00x10-3 n The loop is initially at rest; then a constant force Fat 0.180 N is applied to the loop to pull it out of the field (Figure 1) Figure 1 400 cm 600 cm Part A What is the acceleration of the loop when v 3.00 cm/s? Express your answer with the appropriate units. a. Value Units Submit My Answers Give Up Part B What is the loop's terminal speed? Express your answer with the appropriate units. Value Units Submit My Answers Give Up

Explanation / Answer

part A)

for the loop

magnetic force = B^2 * L^2*v/R

for the acceleration

a = (0.180 - B^2 * L^2*v/R)/masss

a = (0.180 - 3.3^2 * 0.04^2 * 0.03/(8 *10^-3))/0.024

a = 4.78 m/s^2

the acceleration is a

part B) for the termainal speed

a = 0 = (0.180 - 3.3^2 * 0.04^2 * v/(8 *10^-3))/0.024

solving for v

v = 0.0826 m/s

part C)

loop's acceleration is Zero

part D)

a = force/mass

a = 0.180/.024

a = 7.5 m/s^2

the acceleration is 7.5 m/s^2

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