Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (?2, ?6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin?
A. (?1, ?3) m
B. (?1, 2) m
C. (?1, 12) m
D. (?1, 7) m
E. (?1, 3) m
Answer: D
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A particle (mass = 5.0 g, charge = 40 mC) moves in a region of space where the electric field is uniform and is given by Ex = ?2.3 N/C, Ey = Ez = 0 . If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vz = 20 m/s, vx = vy = 0, what is the distance from the origin to the particle at t = 2.0 s?
a. 60 m b. 54 m c. 69 m d. 78 m e. 3.2 m
Before light can undergo total internal reflection when incident on material 1 from material 2, what must be true of the indices of refraction?
a. n1 = n2 c. n1 < n2 b. Either n1 or n2 must be equal to 1. d. n1 > n2