4. A particle with charge q = 1.00x10C has, at a given instant, a speed v= 3.00x 104 m/s in the xy plane directed at an angle of 45 degrees with the x-axis as shown below. A magnetic field of magnitude B = 1.00 T is along the y axis in the negative direction, downward on the page. The x-y axes lie in the plane of the page. The z-axis is perpendicular to the page and the positive z- direction is out of the page. (a) What is the direction of the magnetic force on the particle at this instant, in or out? SHOW WORK. What is the magnitude of the magnetic force on the (b) particle? (c) If the particle has mass 1.00x10 ³ kg, what is the magnitude of the particle's acceleration at this instant? What is the direction of the particle's acceleration? q 45

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Chapter1: Units, Trigonometry. And Vectors
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4.
A particle with charge q = 1.00x10-C has, at a given
instant, a speed v= 3.00x 104 m/s in the xy plane directed at an angle
of 45 degrees with the x-axis as shown below. A
magnetic field of magnitude B = 1.00 T is along the y axis in the negative
direction, downward on the page. The x-y axes lie in the plane of the
page. The z-axis is perpendicular to the page and the positive z-
direction is out of the page.
(a)
What is the direction of the magnetic force on the particle
at this instant, in or out? SHOW WORK.
What is the magnitude of the magnetic force on the
(b)
particle?
(c)
If the particle has mass 1.00x10³ kg, what is the
magnitude of the particle's acceleration at this instant? What is the
direction of the particle's acceleration?
q
45
Transcribed Image Text:4. A particle with charge q = 1.00x10-C has, at a given instant, a speed v= 3.00x 104 m/s in the xy plane directed at an angle of 45 degrees with the x-axis as shown below. A magnetic field of magnitude B = 1.00 T is along the y axis in the negative direction, downward on the page. The x-y axes lie in the plane of the page. The z-axis is perpendicular to the page and the positive z- direction is out of the page. (a) What is the direction of the magnetic force on the particle at this instant, in or out? SHOW WORK. What is the magnitude of the magnetic force on the (b) particle? (c) If the particle has mass 1.00x10³ kg, what is the magnitude of the particle's acceleration at this instant? What is the direction of the particle's acceleration? q 45
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