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Two charges, Q L and Q R have the same magnitude of charge. Q R is fixed in plac

ID: 1646274 • Letter: T

Question

Two charges, QL and QR have the same magnitude of charge. QR is fixed in place as shown in the diagram below. A second charge QL is attached to a massless string which makes an angle of 21° with respect to the horizontal. QL is not moving (and not accelerating) and is located d = 0.311 m directly to the left of QR. QL has a mass of 10.1 kg.

Iwo charges,QL and Rhave the same magnitude of charge. QR Is fixed in place as shown in the diagram below. A second charge QL IS attached to a massless string which makes an angle of 21° with respect to the horizontal. Qu is not moving (and not accelerating) and is located d = 0.311 m directly to the left of QR-QL has a mass of 10.1 kg. 6 What is the magnitude of the charge on QL (in C)? Submit Answer Incorrect. Tries 3/20 Previous Tries

Explanation / Answer

Since Q[L] is not moving, the net force F must be 0.

Let's decompose T:

T[x] = Tcos(180° 21°)

T[y] = Tsin(180° 21°)

F[y] = 0

Tsin(180° 21°) mg = 0

T = (9.81)(10.1)/sin(159°) = 276.48 N

T[x] = 276.48 · cos(159°) = 258.11 N

F[x] = 0

k · Q²/d² = 258.11

Q = [ (258.11 x d² )/ k ] = [(258.11 x 0.311²)/(9 x 10^9)]

     = 5.2668 x 10^-5 C = 52.67 uC (ans)

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