Question

A particle of mass m= 1.609x10^-10 kg and charge 1.609x10^-19 C is moving at v= 1.00x10^3 m/s in the NEGATIVE x direction as it enters a region of space containing a magnetic field B= 0.500 T, which is constant and directed at an angle of 45 degrees with respect to the POSITIVE x axis. A) What is the magnitude of the acceleration of the particle? B) What is the direction of the acceleration?

Please clearly write out all formulas and define which variables are which.

Answer #1

A charged particle of mass m = 4.6X10-8 kg, moving
with constant velocity in the y-direction enters a region
containing a constant magnetic field B = 2.3T aligned with the
positive z-axis as shown. The particle enters the region at (x,y) =
(0.79 m, 0) and leaves the region at (x,y) = 0, 0.79 m a time t =
409 μs after it entered the region.
1. With what speed v did the particle enter the region
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A proton (q = 1.6 X 10-19 C, m = 1.67 X 10-27 kg) moving with
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The magnetic field extends for a distance D = 0.75 m in the
x-direction. The proton leaves the field having a velocity vector
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1)What is v, the magnitude of the velocity...

The figure shows a particle that carries a charge of q0 = -2.80
× 10-6 C. It is moving along the +y axis at a speed of v = 4.82 ×
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along the +z axis, and an electric field of magnitude 112 N/C
points along the -x axis. Determine (a) the magnitude and (b)
direction (as an angle within x-y plane with respect to +x-axis in
the...

A small particle with positive charge q=+4.25×10^−4
C and mass m=5.00×10^−5 kg is moving in a
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is B=4.00 T in the +z-direction. The
electric field is also in the +z-direction and has
magnitude E=60.0 N/C. At time t = 0 the
particle is on the y-axis at y=+1.00 m and has
velocity v = 30.0 m/s in the
+x-direction. Neglect gravity.
What are the x-, y-, and z-coordinates of the...

An alpha particle of charge +2e and mass 6.64 × 10-27 kg is
moving in the +x direction at 1.79×106 m/s. It enters a region
where the electric field is 1591 N/C in the -x direction.
a. How far will the alpha particle travel before it comes to a
stop? 2.33 * 10^-5 m Calculate the acceleration, then use the
appropriate kinematic equation.
b. How much time will elapse from when the alpha particle enters
the electric field to when...

A particle with charge q = 6.0 nC and mass
m = 3.0×10−11 kg which is initially at rest
accelerates through a potential difference V = 100 V and
enters into a region 0 < x < d, where there is a
uniform magnetic field of magnitude B = 1.5 T with
direction perpendicular to the plane of the paper and inward. Use
the coordinate system shown in the figure to answer the following
questions. (Gravitational force on the particle...

A particle with a charge of +3e and a mass of 1.7E-21 kg is
traveling right to left and enters a region of space moving at 150
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A particle travels with a velocity ?=6.00×10-5?―2.00×10-5? [m / s] and enters to a region where there is a magnetic field ?=0.500? ― 2.00? ― 1.40 ? [T]. Determine:
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b) the smallest angle between the velocity and magnetic
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A particle with a charge of 37 μC moves with a speed of 77 m/s
in the positive x direction. The magnetic field in this region of
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Part A:
What is the magnitude of the magnetic force on the particle?
Express your answer using two significant figures.
Part B:
What is the direction of the magnetic force...

10- A particle moving at speed of 3x105 m/s enters
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particle by the magnetic field . a) The particle is an electron. b)
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