A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C î. If, due to this field, the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² î, what is the charge that it carries?

Question

Quizplus · Accepted Answer

The force causing the horizontal acceleration is due to the electric field. Using F = ma, where m = 0.441 kg and a = 13.0 m/s², we find F = 0.441 kg * 13.0 m/s² = 5.733 N. The electric force is also given by F = qE, where E = 5.00 N/C. Solving for q gives q = F/E = 5.733 N / 5.00 N/C = 1.1466 C, which rounds to 1.15 C.

A Small Sphere with a Mass of 441 G Is