2. A long thin rod of length L lies along the r axis. The end points of the rod are at I = 0 and r' = L. Assume the rod has a linear mass density A. Determine the gravitational potential at the point 1 = 4L.

= A point charge Q1 = +5.8 µC is fixed in space, while a point charge Q2 = +2.8 nC, with mass 6.3 µg, is free to move around nearby. Calculate the electric potential energy of the system, in joules, when Q2 is located 0.42 m from Q₁. If Q2 is released from rest at a point 0.42 m from Q₁, what will be its speed, in meters per second, when it is 0.79 m from Q₁? m/s

Three electric charges are places as follows: Charge q1 = 1.4 nC has coordinates x1 = -4.3 m, y1=0 m. %3D Charge q2 = 1.6 nC has coordinates x2 = 3.4 m, y2 = 0 m. %3D Charge q3 =-7.1 nC has coordinates x3 = 0 m, y3 = y m What should the value of y be equal to in order for the electric potential at the origin to be zero? Consider only positive values of y.

3. Four charges are at the corners of a square of side length 1 µm. Four charges are q1 = -4 nC, 92 = 4 nC, q3 = 4 nC and q4 = -4 nC. You may put the charges in any order. Find the electric potential at the center of the square. What is the total electric potential energy of the system?

x = 12.0 cm y = 4.00 cm 1. To calculate the potential energy of the system of the three point-charge system, the appropriate equation to use is       2. Calculate the potential energy of the system of the three point-charge system. 3. To calculate the electric potential at the upper right corner of the rectangle in the Figure, the appropriate equation to use is 4. Calculate the electric potential at the upper right corner of the rectangle (the corner without a charge

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A proton is released from rest at x=2m in the potential shown. What does the proton do immediately after being released? V (V) 50 - x (m) 1 3 -50 Move to the right with increasing speed. Move to the left with increasing speed. Stay at x=2m. Move to the right with constant speed. Move to the left with constant speed. 2.

1.  How do you find the gravitational potential of two masses for any position around them that is outside the masses?  Specifically, take the Earth and the Moon as an example.  We need big masses like these because G is so small.  Gravity is very weak.  When we do electricity, we can work with smaller amounts of matter and smaller distances because electrical forces are stronger than gravitational forces.  Here are the numbers https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html   MEarth = 5.97 × 1024 kg   (Mass of Earth) MMoon = 7.35 × 1022 kg     (mass of Moon) RE-M = 3.85 × 108 m    (average separation of Earth and Moon centers) REarth = 6.378 × 106 m  (radius of Earth) RMoon = 1.738 × 106 m  (radius of Moon)

The figure shows a thin plastic rod of length L = 14.5 cm and uniform positive charge Q = 56.6 fC lying on an x axis. With V = 0 at infinity, find the electric potential at point P₁ on the axis, at distance d = 3.75 cm from one end of the rod. Number Units P₁ D P₂ -X

A point charge Q1=+5.9 uC is fixed in space, while a point charge Q2=+2.2 nC, with mass 7.6 ug, is free to move nearby. A) calculate the electric potential energy of the system, in joules, when Q2 is located 0.42 m from Q1. B) if Q2 is released from rest at a point 0.42 m from Q1, what will be its speed, in meters per second, when it is 0.77m from Q1?