EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
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Question
Chapter 29, Problem 66GP
To determine
The terminal velocity of the bar when it slides frictionlessly down the rails.
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Two resistanceless rails rest 42 cm apart on a 6.6o ramp. They are joined at the bottom by a 0.68 Ω resistor. At the top, a copper bar of mass 0.034 kg (ignore its resistance) is laid across the rails. The whole apparatus is immersed in a vertical 0.35 T field. What is the terminal (steady) velocity of the bar as it slides frictionlessly down the rails?
Magnetic forces can be used to accelerate projectiles to very high speeds in a so-called railgun. In the simplified version shown below, a voltage source drives current down two parallel ideal wires to a section of metal in contact with both wires. The metal has a resistance 0.6 mΩmΩ and weights 6 grams. We assume that the contacts between the wires and the section of metal are friction-less and that the metal can slide along the wires for a total distance of 1 m before exiting the railgun as a projectile. Our goal is to calculate what voltage that will cause the metal projectile to leave the railgun at the speed of sound (343 m/s), assuming it starts from rest.
First, what constant force (in N) will accelerate the rod to the speed of sound in 1 m? Give your answer to 3 significant digits.
Next, which voltage V will generate the necessary current to create this constant force? Give your answer to 3 significant digits.
A straight rod moves along parallel con-
ducting rails, as shown. The rails are con-
nected at the left side through a resistor so
that the rod and rails form a closed rectangu-
lar loop. A uniform field perpendicular to the
movement of the rod exists throughout the
region.
Assume the rod remains in contact with
the rails as it moves. The rod experiences no
friction or air drag. The rails and rod have
negligible resistance.
3.7 T
3.7 T
At what speed should the rod be moving to
produce the downward current in the resistor?
Answer in units of m/s.
0.39 A –
® 7.6 g
1.6 m
Chapter 29 Solutions
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
Ch. 29.1 - Return to the Chapter-Opening Question, page 758,...Ch. 29.2 - Prob. 1BECh. 29.3 - In what direction will the electrons now in Fig....Ch. 29.5 - A bicycle headlight is powered by a generator that...Ch. 29.7 - Prob. 1EECh. 29 - Prob. 1QCh. 29 - What is the difference between magnetic flux and...Ch. 29 - Suppose you are holding a circular ring of wire...Ch. 29 - Prob. 4QCh. 29 - Is there a force between the two loops discussed...
Ch. 29 - Suppose you are looking along a line through the...Ch. 29 - The battery mentioned in Question 6 is...Ch. 29 - Prob. 8QCh. 29 - Prob. 9QCh. 29 - In situations where a small signal must travel...Ch. 29 - What is the advantage of placing the two insulated...Ch. 29 - Prob. 12QCh. 29 - A region where no magnetic field is desired is...Ch. 29 - A cell phone charger contains a transformer. Why...Ch. 29 - An enclosed transformer has four wire leads coming...Ch. 29 - The use of higher-voltage lines in homessay, 600 V...Ch. 29 - Prob. 17QCh. 29 - Prob. 18QCh. 29 - Prob. 19QCh. 29 - Will an eddy current brake (Fig. 2921) work on a...Ch. 29 - It has been proposed that eddy currents be used to...Ch. 29 - The pivoted metal bar with slots in Fig. 2935...Ch. 29 - If an aluminum sheet is held between the poles of...Ch. 29 - A bar magnet falling inside a vertical metal tube...Ch. 29 - A metal bar, pivoted at one end, oscillates freely...Ch. 29 - Since a magnetic microphone is basically like a...Ch. 29 - Prob. 1PCh. 29 - (I) The north pole of the magnet in Fig. 2936 is...Ch. 29 - Prob. 3PCh. 29 - (I) A 22.0-cm-diameter loop of wire is initially...Ch. 29 - Prob. 5PCh. 29 - (II) A 10.8-cm-diameter wire coil is initially...Ch. 29 - (II) A 16-cm-diameter circular loop of wire is...Ch. 29 - (II) (a) If the resistance of the resistor in Fig....Ch. 29 - Prob. 9PCh. 29 - (II) The magnetic field perpendicular to a...Ch. 29 - (II) A circular loop in the plane of the paper...Ch. 29 - (II) Part of a single rectangular loop of wire...Ch. 29 - (II) While demonstrating Faradays law to her...Ch. 29 - Prob. 14PCh. 29 - (II) A 22.0-cm-diameter coil consists of 28 turns...Ch. 29 - (II) A power line carrying a sinusoidally varying...Ch. 29 - (II) The magnetic field perpendicular to a single...Ch. 29 - Prob. 18PCh. 29 - (II) A 25-cm-diameter circular loop of wire has a...Ch. 29 - (II) The area of an elastic circular loop...Ch. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - (II) Inductive battery chargers, which allow...Ch. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - (I) The moving rod in Fig. 2912b is 13.2 cm long...Ch. 29 - (I) The moving rod in Fig. 2912b is 12.0 cm long...Ch. 29 - Prob. 29PCh. 29 - (II) If the U-shaped conductor in Fig. 2912a has...Ch. 29 - (II) Suppose that the U-shaped conductor and...Ch. 29 - (II) When a car drives through the Earths magnetic...Ch. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - (III) A short section of wire, of length a, is...Ch. 29 - (I) The generator of a car idling at 875-rpm...Ch. 29 - Prob. 37PCh. 29 - (II) A simple generator has a 480-loop square coil...Ch. 29 - (II) Show that the rms output of an ac generator...Ch. 29 - (II) A 250-loop circular armature coil with a...Ch. 29 - Prob. 41PCh. 29 - (I) A motor has an armature resistance of 3.05 ....Ch. 29 - (II) What will be the current in the motor of...Ch. 29 - (II) The back emf in a motor is 85 V when the...Ch. 29 - Prob. 45PCh. 29 - (I) A transformer has 620 turns in the primary...Ch. 29 - (I) Neon signs require 12 kV for their operation....Ch. 29 - (II) A model-train transformer plugs into 120-V ac...Ch. 29 - (II) The output voltage of a 75-W transformer is...Ch. 29 - (II) If 65 MW of power at 45 kV (rms) arrives at a...Ch. 29 - Prob. 51PCh. 29 - (III) Design a dc transmission line that can...Ch. 29 - (III) Suppose 85 kW is to be transmitted over two...Ch. 29 - Prob. 54PCh. 29 - (II) The betatron, a device used to accelerate...Ch. 29 - (III) Show that the electrons in a betatron,...Ch. 29 - (III) Find a formula for the net electric field in...Ch. 29 - Prob. 58GPCh. 29 - A square loop 27.0 cm on a side has a resistance...Ch. 29 - Power is generated at 24 kV at a generating plant...Ch. 29 - Prob. 61GPCh. 29 - Prob. 62GPCh. 29 - A pair of power transmission lines each have a...Ch. 29 - Show that the power loss in transmission lines,...Ch. 29 - A high-intensity desk lamp is rated at 35 W but...Ch. 29 - Prob. 66GPCh. 29 - A coil with 150 turns, a radius of 5.0 cm, and a...Ch. 29 - A search coil for measuring B (also called a flip...Ch. 29 - A ring with a radius of 3.0 cm and a resistance of...Ch. 29 - A flashlight can be made that is powered by the...Ch. 29 - A small electric car overcomes a 250-N friction...Ch. 29 - What is the energy dissipated as a function of...Ch. 29 - A thin metal rod of length rotates with angular...Ch. 29 - The magnetic field of a shunt-wound dc motor is...Ch. 29 - Prob. 75GPCh. 29 - A circular metal disk of radius R rotates with...Ch. 29 - What is the magnitude and direction of the...Ch. 29 - Prob. 78GPCh. 29 - Prob. 79GPCh. 29 - Prob. 80GP
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- The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T. Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s? .116 W What is the rod's terminal speed? 0.01138 m/s WHAT I NEED HELP WITH: A) When the rod moves at its terminal speed, what is the power dissipated in the resistor? For this I was using the equation P = V2/R and I got .00586 W which is wrong. What am I doing wrong?arrow_forwardThe figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T. A) Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s? B) What is the rod's terminal speed? C) When the rod moves at its terminal speed, what is the power dissipated in the resistor?arrow_forward(a) The figure below shows two parallel conducting rails 15.2 cm apart, connected by a resistor with resistance R₂ = 5.00 Q. Two metal rods with resistances R₁ = 11.40 and R₂ = 15.0 (2 slide along the rails with negligible friction. Rod R₁ slides to the left at constant speed v₁ = 4.00 m/s, while rod R₂ slides at speed v₂ = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of Bin = 0.0100 T. +5 x x x x x x x x x x x x x x x x x x x x x x x x x x upward x x x ---Select--- X * x x x x x x x x Rg x x x x x R₁ R₂ What are the magnitude (in μA) and direction of the current through resistor R₂? μA magnitude direction x x x x (b) What If? What are the magnitude (in μA) and direction of the current through resistor R. if the rods move inward, instead of outward, with the same speeds as in part (a)? μA magnitude directionarrow_forward
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