An alpha partide travels at a velocity of magnitude 510 m/s through a uniform ma

Question

An alpha partide travels at a velocity of magnitude 510 m/s through a uniform magnetic field of magnitude 0.041 T. (An alpha particle has a charge of charge of +3.2 x 101 C and a mass e 6 ion id the angle between the particle's direction of motion and the magnetic field is 770 What is the magnitude of a) the force acting on the particle due to the field, a (b) the acceleration of the particle due to this force? (c) Does the speed of the particle increase, decrease, or remain the same? (a) Number Units (b) Number Units

Explanation / Answer

speed of the alpha particle v = 510 m/s

magnetic field B = 0.041T

charge q = 3.2 x 10-19 C

mass m = 6.6 x 10-27 Kg

angle x = 770

force acting on the particle F = qvB sinx

= 3.2 x 10-19 x 510 x 0.041 x sin 77

= 3.2 x 10-19 x 510 x 0.041 x 0.9744

=6.52 x 10-18 N

b) accelaration = F/m = 6.52 x 10-18 / 6.6 x 10-27

   = 0.99 x 109 m/s2

c) The speed of the particle remains constant . This force can only change the direction but not the magnitude of the velocity

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