Question

A proton, with mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C, is sent with velocity 7.1 × 104 m/s in the +x direction into a region where there is a uniform electric field of magnitude 730 V/m in the +y direction. What are the magnitude and direction of the uniform magnetic field in the region, if the proton is to pass through undeflected? Assume that the magnetic field has no x-component and neglect gravitational effects.

Draw a sketch of the problem • Identify “the system” by circling the object of interest • Establish a coordinate system and define symbols • Draw a motion diagram for “the system” and determine • Make a free-body diagram showing all the forces acting on “the system” • List knowns and desired unknowns

Write down Newton’s second law in component form • Use the free-body diagram to obtain the force components for Newton’s laws • Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value • Check units and assess if your answer is reasonable

Answer #1

A proton of mass mp=1.67×10−27
kgmp=1.67×10−27 kg and a
charge of qp=1.60×10−19 Cqp=1.60×10−19
C is moving through vacuum at a constant velocity of
10,000 m/s10,000 m/s directly to the east when it
enters a region of uniform electric field that points to the south
with a magnitude of ∣E⃗∣=∣E⃗∣=2520 N/C
N/C . The region of uniform electric field is 5
mm wide in the east-west direction. How far (in meters) will the
proton have been deflected towards the south by...

A proton (q = 1.6 X 10-19 C, m = 1.67 X 10-27 kg) moving with
constant velocity enters a region containing a constant magnetic
field that is directed along the z-axis at (x,y) = (0,0) as shown.
The magnetic field extends for a distance D = 0.75 m in the
x-direction. The proton leaves the field having a velocity vector
(vx, vy) = (3.9 X 105 m/s, 1.9 X 105 m/s).
1)What is v, the magnitude of the velocity...

Problem Statement
A 50 kg boy is sitting in a roller coaster car that at one point
along the track goes in a vertical circular loop of radius 25 m. At
the top of the loop the roller coaster’s speed is 20 m/s. What is
the normal force on the boy from the seat?
Visual Representation
• Draw a sketch of the problem
• Identify “the system” by circling the object of interest
• Establish a coordinate system and define...

2. PLEASE READ THE INSTRUCTIONS CAREFULLY. DRAW SKETCH
AND DIAGRAM AND FREE-BODY DIAGRAM, LIST KNOWNS AND UNKNOWNS
PLEASE.
Problem Statement
Three boxes in contact rest side-by-side on a smooth, horizontal
floor. Their masses are 5.0-kg, 3.0-kg, and 2.0-kg, with the 3.0-kg
box in the center. A force of 50 N pushes on the 5.0-kg box, which
pushes against the other two boxes. a. What magnitude force does
the 3.0-kg box exert on the 5.0-kg box? b. What magnitude force
does...

A beam of protons (proton mass is 1.67 x 10 - 27 kg) moves at 3
x 10 5 m/s through a uniform magnetic field with magnitude 2 T.
The magnetic field has exactly equal components along the positive
y and negative x axes and no component along the z axis. The
velocity of each proton lies in the xz- plane at an angle of 30
0 to the z- axis.
(a) Write the magnetic field B and the velocity...

A proton (e = 1.60 X 10-19 C and m = 1.67
X 10-27 kg) is traveling at 90.0° with respect to the
direction of a magnetic field of strength 4.50 mT experiences a
magnetic forceof 7.50 X 10-17 N. The
proton's kinetic energy is:

- Two protons (mass = 1.67 × 10−27 kg, charge = 1.6 × 10−19 C)
are separated by 1.0 nanometer (10−9 meters) What is the electric
(Coulomb) force between the protons (magnitude and direction).
- What is the gravitational force between the two particles?
- How do the these forces compare, which is larger? Give an
explicit ratio.

A proton with speed v = 4.7x106 m/s in the x-y plane and mass mp
= 1.67x10-27 kg is injected into a uniform magnetic field region
that points in the positive z-direction. The proton also has a
component of velocity 1.1 × 10 m/s along the B field direction. The
magnetic field intensity is B = 0.35 T. (a) Draw a good physics
diagram. Use appropriate perspective(s) for your diagram. (b) Find
the radius of the orbit. (c) Find the...

A
proton with speed v = 4.7x106 m/s in the x-y plane and mass mp =
1.67x10-27 kg is injected into a uniform magnetic field region that
points in the positive z-direction. The proton also has a component
of velocity 1.1 × 106 m/s along the B field direction. The magnetic
field intensity is B = 0.35 T. (a) (25 points) Draw a good physics
diagram. Use appropriate perspective(s) for your diagram. (b) (50
points) Find the radius of the...

A proton, with a charge Q = 1.60 × 10−19 Coulombs has an initial
velocity as shown below with a magnitude of v = 2.50 × 105 m/s.
Take the proton mass to be M = 1.67 × 10−27 kg. The proton moves in
a plane perpendicular to a 3.00 Tesla uniform magnetic field
Calculate the radius, in meters, of the circular path followed
by the proton. With respect to the magnetic field lines, are the
orbits in the clockwise...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 2 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 8 minutes ago

asked 11 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 22 minutes ago