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parts c and d please! A positively charged particle Q_1 = +35 nC is held fixed a

ID: 1636433 • Letter: P

Question

parts c and d please!

A positively charged particle Q_1 = +35 nC is held fixed at the origin. A second charge Q_2 of mass m 6.5 mu g is floating a distance d = 35 cm above charge Q_1. The net force on Q_2 is equal to zero. You may assume this system is close to the surface of the Earth. (a) Which of the following represents the free-body diagram of charge Q_2? (b) What is the sign of the charge on Q_2? (c) Write an equation for of charge Q_2 in terms of the given variables. |Q_2| = (d) Calculate the magnitude of Q_2 in units of nanocoulombs.

Explanation / Answer

Electric force on the Q2:

F = k*Q1*Q2/d^2

where k = 9*10^9

Now, force of gravity ,

Fg = m*g

Now, for the charge to be in equilibrium,

Fg = F

So, mg = k*Q1*Q2/d^2

So, Q2 = mg*d^2/(k*Q1) <------ answer

magnitude of Q2 = 6.5*10^-9*9.8*0.35^2/(9*10^9*35*10^-9)

= 2.48*10^-11 C

= 248 nC <------- answer