If it wasn't so symmetric, all you'd have to do is split the vectors up in to x and y components, add them to find the x and y components of the net force, and then calculate the magnitude and direction of the net force from the components. The symmetry here makes things a little easier. When this is combined with the 64.7 N force in the opposite direction, the result is a net force of 118 N pointing along the diagonal of the square. In this problem we can take advantage of the symmetry, and combine the forces from charges 2 and 4 into a force along the diagonal (opposite to the force from charge 3) of magnitude 183.1 N. You have to be very careful to add these forces as vectors to get the net force. If you have the arrows giving you the direction on your diagram, you can just drop any signs that come out of the equation for Coulomb's law.Ĭonsider the forces exerted on the charge in the top right by the other three: Force is a vector, and any time you have a minus sign associated with a vector all it does is tell you about the direction of the vector. ![]() You should also let your diagram handle your signs for you. To solve any problem like this, the simplest thing to do is to draw a good diagram showing the forces acting on the charge. What is the net force exerted on the charge in the top right corner by the other three charges? The charges in the other two corners are -3.0 x 10 -6 C. The two charges in the top right and bottom left corners are +3.0 x 10 -6 C. ![]() Remember, too, that charges of the same sign exert repulsive forces on one another, while charges of opposite sign attract.įour charges are arranged in a square with sides of length 2.5 cm. Remember that force is a vector, so when more than one charge exerts a force on another charge, the net force on that charge is the vector sum of the individual forces. The size of the force is the same as the force that would be measured if all the mass or charge is concentrated at a point at the centre of the sphere.The force exerted by one charge q on another charge Q is given by Coulomb's law: Coulomb's law is the product of two masses, whereas Newton's law of universal gravitation is the product of two charges. Coulomb's constant kis very large, so that even small charges can result in noticeable forces. The universal constant G is very small and in many cases the gravitational force can be ignored. The electric force can attract or repel, depending on the charges involved, whereas the gravitational force can only attract. Question 6 (1 point) Which of the following is NOT a similarity or difference between Coulomb's law and Newton's law of universal gravitation? The forces act along the line joining the centres of the masses or charges. ![]() Electrostatic force and gravitational force have associated fields, but magnetic force does not Gravitational force is stronger than electrostatic force, and both follow the inverse square law. All three require opposite poles or charges, but only gravitational force follows the inverse square law. Magnetic force and gravitational force follow the inverse square law, with electrostatic force needing two opposite charges. Question 3 (1 point) Which statement best describes differences and similarities among electrostatic force, magnetic force, and gravitational force? All three follow the inverse square law, with electrostatic force and magnetic force needing two poles or charges.
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