0.2 Use the simulation in the first interactive problem, and the initial conditions, in this section to answer the following questions.
(a) Are the force and velocity vectors parallel or perpendicular to each other? (b) What is the angle between the force vector
and the magnetic field?
(a) Parallel Perpendicular
(b) i. 0
ii. 45
iii. 90degreesSection 7 - Magnetic fields and charged particles
7.1 An alpha particle (q = +3.20×10í^19 C) moves at a velocity of 2.45×10^4 m/s in the positive x direction through a magnetic field
of 0.0775 T that points in the negative z direction. What are (a) the magnitude and (b) the direction of the magnetic force on
the particle?
(a) N
(b) i. Positive x
ii. Positive y
iii. Positive z
iv. Negative x
v. Negative y
vi. Negative z
direction7.2 A charged particle moving at a speed of 175 m/s due east, through a magnetic field of 5.00 mT pointing straight up toward
the sky, experiences a force of 4.25 μN directed due north. What is the charge on the particle? Be sure to indicate the sign.
C7.3 An electron (q = í1.60×10í^19 C) is traveling through the Earth's magnetic field at a location on the Earth's surface where the
field has a strength of exactly 5.00×10í^5 T, directed due north. At a particular instant, a magnetic force of 6.44×10í^21 N,
directed straight down, acts on the electron. If the electron is traveling in a cardinal compass direction, what are (a) the
magnitude and (b) the direction of the electron's velocity at that instant?
(a) m/s
(b) i. North
ii. South
iii. East
iv. West
7.4 A boy shuffles across an outdoor nylon carpet, acquiring a positive static charge, and then fires a BB gun in the direction of
the setting sun. The BB travels horizontally at a speed of 105 m/s, carrying away a charge of +3.43μC. If the Earth's local
magnetic field is perpendicular to the velocity of the BB, and it exerts a force of 1.80×10–8 N on it, what is the magnitude of
the magnetic field at his location?
T7.5 An electrically charged bullet of mass 0.010 kg leaves the barrel of a gun traveling parallel to the ground and perpendicular to
the Earth's magnetic field at 1.10e+3 m/s. In theory, what charge could the bullet carry in order to remain at a constant
height? Assume that the Earth is flat, and that the magnetic field (0.500 gauss) is horizontal and points left if you are looking
in the direction of the bullet's motion.
C
7.6 An F-15 fighter aircraft is flying at 850 m/s in a direction that makes a 30.6° angle with the Earth's magnetic field, which has a
strength of 5.03×10í^5 T. The plane has acquired a static charge of 343 μC. What is the strength of the force exerted by the
field on the aircraft?
N7.7 A youth shuffles across an outdoor nylon carpet, acquiring a positive static charge, and then fires a BB gun due east. The BB
travels horizontally at a speed of 98.4 m/s, carrying away a charge of +8.66 μC. If the Earth's local magnetic field has a
strength of 5.04×10í^5 T, is purely horizontal, and exerts a force of 4.10×10í^8 N on the BB, what is the declination of the field
at his location? Express your answer as a small positive angle between due north and the direction of the magnetic field.
°