a)An alpha particle is a helium nucleus that consists of twoprotons bound with t

Question

a)An alpha particle is a helium nucleus that consists of twoprotons bound with two neutrons. An alpha particle moving through aperpendicular magnetic field of 1.1 T experiences an accelerationof 1960 m/s2.What is the alpha particle's speed?
m/s
b)A particleof charge q = -8.7 µC has a velocityof 610 m/s that lies inthe x—y plane and makes an angleof 65° with respect to the x axis as shownin the figure below. If there is a constant magnetic field ofmagnitude 1.6 T in the+y direction, what are the magnitude and direction ofthe magnetic force on the particle? magnitude N direction ---Select---in the +x directionin the x direction in the +y directionin the y direction in the +z directionin the z direction The force is zero.


b)A particleof charge q = -8.7 µC has a velocityof 610 m/s that lies inthe x—y plane and makes an angleof 65° with respect to the x axis as shownin the figure below. If there is a constant magnetic field ofmagnitude 1.6 T in the+y direction, what are the magnitude and direction ofthe magnetic force on the particle? magnitude N direction ---Select---in the +x directionin the x direction in the +y directionin the y direction in the +z directionin the z direction The force is zero.

Explanation / Answer

Charge of alpha q = 3.2 * 10 ^ -19 c

Magnetic field B = 1.1 T

Accleration a = 1960 m / s ^ 2

Force F = m a

            = ( 4 * 1.67 * 10 ^ -27 kg ) ( 1960 m / s ^ 2)

            = 1.309 * 10 ^ -23 N

We know F = Bvq

From this speed v = F / Bq

                              = 3.719 * 10 ^ -5 m / s

(b). Charge q= -8.7 * 10 ^ -6 C

Velocity v = 610m / s

Angle = 65 degrees

Magnetic field B = 1.6 T

Magnetic force F =Bvq   sin 65

                           = 7.69 * 10 ^ -3 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.