HW5 - magnets Problem 20.09 Resources * previous 7 of 15 next Problem 20.09 Part

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HW5 - magnets Problem 20.09 Resources * previous 7 of 15 next Problem 20.09 Part A A particle with mass 1.25x103kg and charge of +1.17x108 C has, at a given instant, a velocity of 2.70x104 m/s along the Y-axis, as shown in the figure . What is the magnitude of the particle's acceleration produced by a magnetic field of magnitude 1.33 T in the T - y plane, directed at an angle of 45.counterclockwise from the +T-axis? Express your answer with the appropriate units to three significant figures. (Figure 1 H WA Mr O 8 ? 237 1m Submit My Answers Give Up Incorrect; Try Again; 9 attempts remaining Part B Figure 1 of 1 What is the direction of the particle's acceleration? +-direction --direction +y-direction -y-direction O +2-direction 45.0° C O -2-direction Submit My Answers Give Up Correct

Explanation / Answer

(a)

the force acting on a charge moving in a magnetic field is

F = q*V*B*sin(theta)

m*a = q*V*B*sin(theta)

a = q*V*B*sin(theta) / m

= (1.17*10^-8)(2.70*10^-4)(1.33)*sin(45) / (1.25*10^-3)

= 0.2376 m/s^2

rounding to three significant figures a = 0.238 m/s^2

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