A particle with mass 3×10−2 kg
k
g
and charge +3 μC
μ
C
enters a region of space where there is a magnetic field of 1 T
T
that is perpendicular to the velocity of the particle. When the particle encounters the magnetic field, it experiences an acceleration of 12 m/s2
m
/
s
2
. What is the speed of the particle when it enters the magnetic-field region?

Respuesta :

The speed of the particle when it enters the magnetic-field region is 120,000 m/s.

Speed of the particle

Magnetic force on the particle is given as;

F = qvB

where;

  • q is magnitude of the charge
  • v is speed of the particle
  • B is magnetic field strength

From Newton's second law, force on an object is given as;

F = ma

where;

  • m is mass of the particle
  • a is acceleration

ma = qvB

v = ma/qB

v = (3 x 10⁻² x 12)/(3 x 10⁻⁶ x 1)

v = 120,000 m/s

Thus, the speed of the particle when it enters the magnetic-field region is 120,000 m/s.

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