Question

In: Physics

A proton with a velocity V = (2.00 m / s) i - (4.00 m /...

A proton with a velocity V = (2.00 m / s) i - (4.00 m / s) j - (1.00 m / s) k, a B = (1.00 T) i + (2.00 T) j- (1.00 T) k it moves within the magnetic field. What is the magnitude of the magnetic force (Fe) acting on the particle? (Qproton = 1.6x10-19 C)

Solutions

Expert Solution

When a charged particle enter into a magnetic field it experiences a force called lorentz force. And force can be written as

Here q is the charge of the particle, V is the velocity of the particle and B is the magnetic field . First we take the cross product between V and B. And then we multiply it with the charge q and then by taking the magnitude of the vector quantity we get the magnitude of the force. The detailed solution is shown below as an image .

So the magnitude of magnetic force acting on the particle is 16.08 ×10^-19 N.


Related Solutions

Moving with proton i = (2i + 3j - k) m / s velocity in a...
Moving with proton i = (2i + 3j - k) m / s velocity in a region where uniform magnetic field B = (21i + 4j + k) T and uniform electric field E = (4i-j-2k) V / m It is. a) Calculate the electrical, magnetic and total force acting on the particle? b) How much angle does the total force vector with the positive x-axis? c) What is the acceleration of the proton? (mp = 1.6x10 ^ 27kg for...
A proton is traveling horizontally to the right at 4.00×106 m/s. (a) Find the magnitude and...
A proton is traveling horizontally to the right at 4.00×106 m/s. (a) Find the magnitude and direction of the weakest electric field that can bring the proton uniformly to rest over a distance of 1.67 cm. (b) How 7 much time does it take the proton to stop after entering the field?A −1.00-nC point charge is at the origin, and a +4.00-nC point charge is on the y-axis at y = 2.00 m. (a) Find the electric field (magnitude and...
a 5.00 kg ball, moving to the right at a velocity of 2.00 m/s on the...
a 5.00 kg ball, moving to the right at a velocity of 2.00 m/s on the frictionless table, collide head on with a stationary 7.50 kg ball. find the final velocities of the balls if the collision is elastic, completely inelastic the balls stick together
A 4.00 g bullet is moving horizontally with a velocity of +355 m/s as shown in...
A 4.00 g bullet is moving horizontally with a velocity of +355 m/s as shown in figure below. The bullet is approaching two blocks resting on a horizontal frictionless surface. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as shown in part (b). Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1150 g and its velocity is +0.550 m/s...
A proton has an initial velocity of 7.6 × 106 m/s in the horizontal direction. It...
A proton has an initial velocity of 7.6 × 106 m/s in the horizontal direction. It enters a uniform electric field of 8800 N/C directed vertically. a) Ignoring gravitational effects, find the time it takes the proton to travel 0.127 m horizontally. The mass of the proton is 1.6726 × 10−27 kg and the fundamental charge is 1.602 × 10−19 C . Answer in units of ns. b)What is the vertical displacement of the proton after the electric field acts...
A proton is with a velocity of 2E5 m/s travel perpendicular to a 2E-5 T magnetic...
A proton is with a velocity of 2E5 m/s travel perpendicular to a 2E-5 T magnetic field as shown below. Find the following: a. The magnitude of the force on the proton. (5 points) b. The magnitude of the acceleration of the proton. (5 points) c. The radius of the proton’s path. (5 points) d. A circular coil of wire with 100 turns, a radius of 0.25 m and carries a 2.0 A current as shown below. Find the magnitude...
A proton with an initial velocity of 3.9 106 m/s enters a parallel-plate capacitor at an...
A proton with an initial velocity of 3.9 106 m/s enters a parallel-plate capacitor at an angle of 46° through a small hole in the bottom plate as shown in the figure below. If the plates are separated by a distance d = 2.1 cm, what is the magnitude of the minimum electric field to prevent the proton from hitting the top plate? ___ N/C Compare your answer with the results obtained if the proton was replaced with an electron...
Consider atmospheric air at a velocity of V = 20 m/s and a temperature of T=...
Consider atmospheric air at a velocity of V = 20 m/s and a temperature of T= 20C, in cross flow over 10 mm square tube at 45 degrees, maintained at 50C. Sketch Assumptions Calculate the air properties (show the interpolation steps) Re = ? Nu = ? (reference the table number where the equation is obtained) H = ? Calculate the rate of heat transfer per unit length, q.
with a velocity v = 4.6i m/s. It the strikes the six ball, which has an...
with a velocity v = 4.6i m/s. It the strikes the six ball, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 26° and the six ball is deflected by an angle of Φ = 35°, as shown in the figure. Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude...
a)A 5.00kg moving object with a velocity of 2.00 m/s has a head-on elastic collision (angle...
a)A 5.00kg moving object with a velocity of 2.00 m/s has a head-on elastic collision (angle = 180o) with a 10.0 kg of object that is not moving. What would be the final velocity of the 5.00kg object? b)A 5.00kg moving object with a velocity of 2.00 m/s has a head-on inelastic collision (angle = 180o) with a 10.0 kg of object that is not moving. What would be the final velocity of the 5.00kg object?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT