In this lesson, we will learn how to calculate the forces that electrically charged objects exert on each other, including the net force from multiple charges.
Q1:
An object with a charge of 𝑞=−150mC is positioned 8.8 cm directly below an object with a charge of 𝑞=75mC, as shown in the diagram. On either side of the negatively charged object, at a distance of 6.3 cm, are objects with the charges 𝑞=𝑞=21mC. Find the magnitude of the net electrical force acting on the negatively charged object. Use 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Give your answer in scientific notation to one decimal place.
Q2:
An object with a charge 𝑞 attracts two other objects that have the charges 𝑞 and 𝑞, as shown in the diagram. The force 𝐹 that 𝑞 exerts on 𝑞 is twice the force 𝐹 that 𝑞 exerts on 𝑞. The distance from 𝑞 to 𝑞 is 752 µm and the distance from 𝑞 to 𝑞 is 342 μm. If 𝑞=−12mC, find 𝑞. Give your answer to one decimal place.
Q3:
Two positively charged spheres are separated by a distance of 8.5 mm, as shown in the diagram. One sphere has a 20 mC charge and the other has a 10 mC charge. The sphere with the 10 mC charge has a force F exerted on it. Find F. Use 8.988×10 N⋅m2/C for the value of Coulomb’s constant. Give your answer in scientific notation to one decimal place.
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