An immovable charge Q₁ = +5.0μC is placed in fixed location. Another charge, Q₂ = +3.0μC and mass m₂ = 6.0µg, is allowed to move near the first charge. (a) Evaluate the potential energy of Q₂ when it is 4.0 cm from Q₁. (b) If Q₂ starts from rest from a point 4.0 cm from Q₁, what will be its speed when it is 8.0 cm from Q₁? Assume there are no additional forces acting on this charge and Q₁ does not move.
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- Please asapFour identical charged particles (q = +20.0 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 57.0 cm and W = 14.0 cm. Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. 9 y L 19 WThe three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC and calculate the electric potential in KV at the midpoint of the base. (Let d1 = 1.00 cm and d2 = 7.00 cm.)
- In the figure shown below, q = 2.0 x 10-9 C and d = 1.2 m. The electric potential at point P located at the center of the square is: -2.0q -3.0q d- d •P d d- -2.09 +5.0qTwo charges of q1 = 1.9 µC and q2 = −2.9 µC are d = 0.46 m apart at two vertices of an equilateral triangle as in the figure below. (a) What is the electric potential due to the 1.9-µC charge at the third vertex, point P? (in volts) (b) What is the electric potential due to the −2.9-µC charge at P? (in volts) (c) Find the total electric potential at P. (in volts) (d) What is the work required to move a 4.0-µC charge from infinity to P? (in joules)Two tiny metal spheres A and B of masses mA = m and mB = have equal positive charges q. The spheres are connected by a massless nonconducting string of length d, which is much greater than the radii of the spheres. NOTE: Express your answers in terms of m, q, d, and eg. (a) What is the electric potential energy of the system? U = (b) Suppose you cut the string. At that instant, what is the acceleration of sphere A? AA = (c) Suppose you cut the string. At that instant, what is the acceleration of sphere B? Ав (d) A long time after you cut the string, what is the speed of sphere A? VA = (e) A long time after you cut the string, what is the speed of sphere B? UB =
- A charged particle ( q = 8.0 mC), which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B, the kinetic energy of the particle is equal to 6.4 J. What is the electric potential difference V B − V A?= 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/sTwo point charges q1 = +26µC and q2 = -17.5µC are 64 cm apart. What is the potential energy of the system of two charges? Express your answer in Joules.
- Problem 5: A point charge Q1 = +4.3 µC is fixed in space, while a point charge Q2 = +3.8 nC, with mass 7.7 ug, is free to move around nearby. Part (a) Calculate the electric potential energy of the system, in joules, when Q2 is located 0.45 m from Q1. PE = sin() cos() tan() 7. 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 12 3 cosh() tanh() cotanh() END ODegrees O Radians vol BACKSPACE DEL CLEAR Part (b) If Q2 is released from rest at a point 0.45 m from Q1. what will be its speed, in meters per second, when it is 0.84 m from Q?Two point charges Q1 = -2.00 nC and Q: = +4.00 nC are separated by 40.0 cm. (a) What is the potential energy of the pair? (b) What is the electric potential at a point midway between the charges?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?