Physics

Problem

A proton enters a region of uniform magnetic field of magnitude

5.0\,\text{mT}

. The velocity of the proton makes an angle of

40^{\circ}

with the direction of the field. a. (i) Calculate the magnitude of the magnetic force acting on the proton if its speed is

2.0\times10^{6}\,\text{m\,s}^{-1}

. b. (ii) The proton now enters the same field at the same angle but with its speed reduced to one-half of the original value. Find the new magnitude of the force. c. (iii) If, instead of changing the speed, the proton were to enter the field at

90^{\circ}

while maintaining the original speed of

2.0\times10^{6}\,\text{m\,s}^{-1}

, by what factor would the force calculated in part (i) change? Justify your answer briefly.

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