Explanation Given data: Mass of ion is 62 times the mass of proton. Magnetic field is 0.30 T. Speed of the ions is 1.4 × 10 5 m s . Formula used: Consider the expression for force. F = q v B (1) Here, v is the velocity of electron. q is the charge of electron which have a standard value of 1.6 × 10 − 19 C . B is the magnetic field strength. Consider the expression for force. F = m a (2) Here, m is the mass. a is the acceleration. Consider the expression for final velocity. ( v y ) f = ( v y ) i + a y Δ t (3) Here, ( v y ) i is the initial velocity in y direction. Δ t is the change in time. a y is the acceleration in y direction. Consider the expression for distance. Δ x = ( v x ) i Δ t + 1 2 a x Δ t 2 (4) Here, ( v x ) i is the initial velocity. Δ x is the distance. a x is the acceleration in x direction. Calculation: Substitute equation (1) in equation (2), m a = q v B a = q v B m (5) Mass of ion is 62 times the mass of proton that is, m = 62 m p (6) Here, m p is the mass of proton which have a standard value of 1.67 × 10 − 27 kg . Substitute equation (6) in equation (5), a = q v B 62 m p Substitute 1.6 × 10 − 19 C for q , 1.4 × 10 5 m s for v , 0.30 T for B and 1.67 × 10 − 27 kg for m p , a = 1.6 × 10 − 19 C × 1.4 × 10 5 m s × 0.30 T 62 × 1.67 × 10 − 27 kg = 6.5 × 10 10 m s 2 Acceleration along x direction is zero because it is moving with a constant velocity along x direction. Substitute 1.4 × 10 5 m s for ( v x ) i , 0 m s 2 in a x and 0

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 24, Problem 32P

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Chapter 24 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 24 - In Figure Q24.1, suppose the magnet on the right...Ch. 24 - Prob. 2CQ Ch. 24 - When you are in the southern hemisphere, does a...Ch. 24 - If you were standing directly at the earths north...Ch. 24 - If you took a sample of magnetotactic bacteria...Ch. 24 - Green turtles use the earths magnetic field to...Ch. 24 - Prob. 7CQ Ch. 24 - Prob. 8CQ Ch. 24 - Prob. 9CQ Ch. 24 - As shown in Figure Q24.10, a uniform magnetic...

Ch. 24 - Prob. 11CQ Ch. 24 - An electron is moving in a circular orbit in a...Ch. 24 - Prob. 13CQ Ch. 24 - One long solenoid is placed inside another...Ch. 24 - Prob. 15CQ Ch. 24 - Prob. 16CQ Ch. 24 - Prob. 17CQ Ch. 24 - Prob. 18CQ Ch. 24 - An electron is moving near a long,...Ch. 24 - Two positive charges are moving in a uniform...Ch. 24 - Prob. 21CQ Ch. 24 - An electron and a proton are moving in circular...Ch. 24 - A proton moves in a region of uniform magnetic...Ch. 24 - Prob. 24CQ Ch. 24 - Prob. 25CQ Ch. 24 - A long wire and a square loop lie in the plane of...Ch. 24 - A solenoid carries a current that produces a field...Ch. 24 - Prob. 28CQ Ch. 24 - Prob. 29MCQ Ch. 24 - If a compass is placed above a current-carrying...Ch. 24 - Prob. 31MCQ Ch. 24 - Figure Q24.32 shows four particles moving to the...Ch. 24 - Prob. 33MCQ Ch. 24 - If all of the particles shown in Figure Q24.33 are...Ch. 24 - If two compasses are brought near enough to each...Ch. 24 - Table 24.1 notes that the magnetic field 10 cm...Ch. 24 - An investigator places a sample 1.0 cm from a wire...Ch. 24 - The magnetic field at the center of a...Ch. 24 - For a particular scientific experiment, it is...Ch. 24 - Prob. 5P Ch. 24 - Prob. 6P Ch. 24 - Prob. 7P Ch. 24 - Although the evidence is weak, there has been...Ch. 24 - Some consumer groups urge pregnant women not to...Ch. 24 - A long wire carrying a 5.0 A current perpendicular...Ch. 24 - Prob. 11P Ch. 24 - Prob. 12P Ch. 24 - A solenoid used to produce magnetic fields for...Ch. 24 - Two concentric current loops lie in the same...Ch. 24 - The magnetic field of the brain has been measured...Ch. 24 - Prob. 16P Ch. 24 - What is the magnetic field at the center of the...Ch. 24 - Experimental tests have shown that hammerhead...Ch. 24 - Prob. 19P Ch. 24 - Prob. 20P Ch. 24 - In the Bohr model of the hydrogen atom, the...Ch. 24 - A proton moves with a speed of 1.0 107 m/s in the...Ch. 24 - An electron moves with a speed of 1.0 107 m/s in...Ch. 24 - An electromagnetic flowmeter applies a magnetic...Ch. 24 - The aurora is caused when electrons and protons,...Ch. 24 - Problem 24.25 describes two particles that orbit...Ch. 24 - Prob. 27P Ch. 24 - Prob. 28P Ch. 24 - The microwaves in a microwave oven are produced in...Ch. 24 - A cyclotron is used to produce a beam of...Ch. 24 - A medical cyclotron used in the production of...Ch. 24 - Prob. 32P Ch. 24 - Prob. 33P Ch. 24 - Prob. 34P Ch. 24 - Prob. 35P Ch. 24 - A uniform 2.5 T magnetic field points to the...Ch. 24 - Prob. 37P Ch. 24 - A current loop in a motor has an area of 0.85 cm2....Ch. 24 - A square current loop 5.0 cm on each side carries...Ch. 24 - People have proposed driving motors with the...Ch. 24 - Prob. 41P Ch. 24 - Prob. 42P Ch. 24 - A solenoid is near a piece of iron, as shown in...Ch. 24 - The right edge of the circuit in Figure P24.44...Ch. 24 - Prob. 45GP Ch. 24 - An electron travels with speed 1.0 107 m/s...Ch. 24 - Prob. 47GP Ch. 24 - Prob. 48GP Ch. 24 - Irrigation channels that require regular flow...Ch. 24 - Typical blood velocities in the coronary arteries...Ch. 24 - Prob. 51GP Ch. 24 - Bats are capable of navigating using the earths...Ch. 24 - At the equator, the earths field is essentially...Ch. 24 - Prob. 55GP Ch. 24 - A 1.0-m-long, 1.0-mm-diaraeter copper wire carries...Ch. 24 - An insulated copper wire is wrapped around an iron...Ch. 24 - Prob. 58GP Ch. 24 - Assuming the particle in Figure P24.59 is...Ch. 24 - How does the kinetic energy of the particle in...Ch. 24 - Prob. 61MSPP Ch. 24 - Next, a particle with the same mass and velocity...Ch. 24 - What is the direction of the magnetic force on a...Ch. 24 - What is the magnitude of the force on this ion? A....Ch. 24 - What magnitude electric field is necessary to...Ch. 24 - The electric field produces a potential...Ch. 24 - In the spectrometer shown in Figure P24.67, do the...Ch. 24 - The moving ions can be thought of as a current...Ch. 24 - Why is it important that the ions have a known...Ch. 24 - A mass spectrometer similar to the one in Figure...

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Chapter 24 Solutions