Two charges, QL and QR have the same magnitude of charge. QR is fixed in place a
ID: 1769013 • 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 33° with respect to the horizontal. QL is not moving (and not accelerating) and is located d = 0.335 m directly to the left of QR. QL has a mass of 18.7 kg.
What is the magnitude of the charge on QL (in ?C)?
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 33 A degree with respect to the horizontal. QL is not moving (and not accelerating) and is located d = 0.335 m directly to the left of QR. QL has a mass of 18.7 kg. What is the magnitude of the charge on QL (in ?C)?Explanation / Answer
in y direction
T*sin(theta) = m*g
T = m*g/sin(theta)
= 18.7*9.8/sin(33)
= 336.5 N
in x -direction
T*cos(theta) = k*QL*QR/d^2
T*cos(theta) = k*Q^2/d^2
Q = d*sqrt(T*cos(theta)/k)
= 0.335*sqrt(336.5*cos(33)/9*10^9)
= 59.32 micro C
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