Question

In: Physics

Two identical point charges, each of charge +2.00x10-6 C and mass 7.00x10-6 kg , are fixed...

Two identical point charges, each of charge +2.00x10-6 C and mass 7.00x10-6 kg , are fixed on the y-axis at the points (x,y) = (0, +3.00) meters and (x,y) = (0, -3.00) meters. Suppose a negative charged particle of mass 8.00x10-9 kg and of charge – 6.00 C is released from rest on the x-axis at the point (x,y) = (- 4.00, 0) meters. What will be the speed of the negative charge at the instant it passes though the origin of the coordinate system?

Solutions

Expert Solution

Charge is at

Charge is at

Charge is at

Distance between is

Distance between is

When the charge is at its velocity is

When the charge is at its velocity is .

Potential energy of the system when the charge is at is

( r is the distance between and )

Potential energy of the system when the charge is at is

Change in potential energy of the system

, and

Conserving the energy of charge Q of mass m ,

Change in kinetic energy of of mass m + Change in potential energy=0

Speed of the negative charge at the instant it passes through the origin of the system is


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