Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.114 N when their center-to-center separation is 69.8 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0527 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number (b) Number Units Units
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- P10Four identical charged particles (g = +10.1 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 64.2 cm and W = 14.6 cm. L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis)Three dots are resting on the vertices of a triangle. The sides of the triangle have a length of a = 0.68 m, as shown. Two of the dots (S1 and S3) have +6.5 µC charge, while the other (S2) has −6.5 µC charge. (a) Find the direction of the net force on the third dot (S3) in degrees counterclockwise from the +x-axis. (b) Find the direction of the net force on the third dot (S3) when it is moved to the origin in degrees counterclockwise from the +x-axis.
- Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.140 N when their center-to-center separation is 63.8 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0403 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.)Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.120 N when their center-to-center separation is 55.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0511 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number Units (b) Number UnitsTwo identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.113 N when their center-to-center separation is 45.4 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0532 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) Units (a) NumberT-0.05097 (b) NumberTo.04506 UnitsTc
- Consider the following figure. (The four charges are at the corners of a square. Take q = 1.11 µC and Q = 1.99 µC.) (a) In the figure, what are the magnitude and direction of the resultant force on q1? (Take q1 as the origin of the coordinate system and measure the angle counterclockwise from the positive x-axis, which is directed towards the right.) (b) What is the resultant force on the center of mass of the four charges?Yoko has two iron balls. They are both positively charged. Both balls are hanging with weight negligible strings from one hook attached to the ceiling. The strings are the same length. The strings make a 10 degree angle with eachother. The charges carried by each ball is 1.00uC and 9.00uC. With both the iron balls having a mass of 400 grams, figure out the length of the strings. Theta = 10 degrees 1.00 μC 9.00 μCThree identical metallic conducting spheres carry the following charges: q1 = +4.60 μC, q2 = +1.80 μC, and q3 = −1.60 μC. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3; those two are then separated as well. How many excess (or deficiency) electrons make up the final charge on the third sphere?