Question

An alpha particle travels at a velocity of magnitude 760 m/s through a uniform magnetic field of magnitude 0.034 T. (An alpha particle has a charge of charge of 3.2 × 10-19 C and a mass 6.6 × 10-27 kg) The angle between the particle's direction of motion and the magnetic field is 51°. What is the magnitude of (a) the force acting on the particle due to the field, and (b) the acceleration of the particle due to this force

Answer 1

(a) 6.42 x 10^-18 N

(b) 9.73 x 10^8 m/s^2

Step-by-step explanation:

v = 760 m/s, B = 0.034 T, m = 6.6 x 10^-27 kg, q = 3.2 x 10^-19 C, theta = 51 degree

(a) F = q v B Sin theta

F = 3.2 x 10^-19 x 760 x 0.034 x Sin 51

F = 6.42 x 10^-18 N

(b) Acceleration, a = Force / mass

a = (6.42 x 10^-18) / (6.6 x 10^-27)

a = 0.973 x 10^9

a = 9.73 x 10^8 m/s^2