A conducting bar with a length L and mass m slides over horizontal rails that are connected to a voltage source, which maintains a constant current in the rails and bar. A constant, uniform, vertical magnetic field B fills the region between the rails. a) Find the magnitude and direction of the net force on the conducting bar. You can ignore friction, air resistance, and electrical resistance. b) Find the distance d that the bar must move along the rails from rest to attain a velocity with magnitude v. c) Electromagnetic launchers based on this principle can possibly accelerate payloads into earth orbit or beyond. Find the distance the bar must travel along the rails if it is to reach the escape speed for the earth (11.2 km/s). Let B=0.5T , I = 2×10A, m = 25 kg, and L= 1.5 m. For simplicity, assume the net force on the object is equal to the magnetic force, (as in parts (a) and (b)), even though gravity plays an important role in an actual launch in space.
A conducting bar with a length L and mass m slides over horizontal rails that are connected to a voltage source, which maintains a constant current in the rails and bar. A constant, uniform, vertical magnetic field B fills the region between the rails. a) Find the magnitude and direction of the net force on the conducting bar. You can ignore friction, air resistance, and electrical resistance. b) Find the distance d that the bar must move along the rails from rest to attain a velocity with magnitude v. c) Electromagnetic launchers based on this principle can possibly accelerate payloads into earth orbit or beyond. Find the distance the bar must travel along the rails if it is to reach the escape speed for the earth (11.2 km/s). Let B=0.5T , I = 2×10A, m = 25 kg, and L= 1.5 m. For simplicity, assume the net force on the object is equal to the magnetic force, (as in parts (a) and (b)), even though gravity plays an important role in an actual launch in space.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:A conducting bar with a length L and mass m slides over horizontal rails that are connected to a
voltage source, which maintains a constant current in the rails and bar. A constant, uniform,
vertical magnetic field B fills the region between the rails.
a) Find the magnitude and direction of the net force on the conducting bar. You can ignore
friction, air resistance, and electrical resistance.
b) Find the distance d that the bar must move along the rails from rest to attain a velocity
with magnitude v.
c) Electromagnetic launchers based on this principle can possibly accelerate payloads into
earth orbit or beyond. Find the distance the bar must travel along the rails if it is to reach
the escape speed for the earth (11.2 km/s). Let B=0.5T , I = 2×10A, m = 25 kg, and
L= 1.5 m. For simplicity, assume the net force on the object is equal to the magnetic
force, (as in parts (a) and (b)), even though gravity plays an important role in an actual
launch in space.
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