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Two charges are located on the positive x-axis of a coordinate system. Charge π‘ž1 = 2 Γ— 10βˆ’9𝐢 is 2cm from the origin, and charge π‘ž2 = βˆ’3 Γ— 10βˆ’9𝐢 is 4cm from the origin. What is the total force exerted by these two charges on a charge π‘ž3 = 5 Γ— 10βˆ’9𝐢 located at the origin?


Two identical 15.0-kg balls, each 25.0 cm in diameter, are suspended by two



35.0-cm wires. The entire apparatus is supported by a single 18.0-cm wire,



and the surfaces of the balls are perfectly smooth.



a) Find the tension in each of the three wires.



b) How hard does each ball push on the other one?

A circular coil of radius 5x10-2m and with 40 turns is carrying a current of 0.25 A. determine the magnetic field of the circular coil at the center.


A spherical-shaped capacitor has a charge equivalent to 4.45 nanocoulombs when connected to a battery that has a voltage of 220 V. Suppose the two shells of the spherical capacitor are 5.34 centimeters apart, what are the capacitance and the radius of the inner sphere?

Calculate the potential difference of a battery connected to a capacitor consisting of two parallel plates with an area of 1.75 cm2 and a separation distance of 4.33 mm. Suppose that the charge present on the two plates is equal to 2.67 picocoulombs.

Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of


2.0 m/s2 for 3.5 seconds?


Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of

2.0 m/s2 for 3.5 seconds?


How far away from each other would two metal plates, 2 square meters in area each, must be in order to create a capacitance of 1 ΞΌF? Assume that the plates are separated by air.


1. Two charges are located on the positive x-axis of a coordinate system. Charge π‘ž1 = 2 Γ— 10βˆ’9𝐢 is 2cm from the origin, and charge π‘ž2 = βˆ’3 Γ— 10βˆ’9𝐢 is 4cm from the origin. What is the total force exerted by these two charges on a charge π‘ž3 = 5 Γ— 10βˆ’9𝐢 located at the origin?


2. A negative charge of βˆ’0.50 Γ— 10βˆ’6𝐢 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?


3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10βˆ’19𝑁?


4. What is the electric field 30cm from a charge π‘ž = 4 Γ— 10βˆ’9𝐢?


5. The electric field caused by a certain point charge has a magnitude of 5.0 Γ— 103 𝑁 𝐢 at a distance 0.10m from the charge. What is the magnitude of the charge?





Leo who has a mass of 70 kg stretches

the trampoline mat by 37 cm. Calculate the

elastic potential energy he puts into the

trampoline mat.


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