Asmall 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 iˆ. if, due to this field, the sphere suddenly acquires a horizontal acceleration of 13.0 m/s2 iˆ, what is the charge that it carries?

Charge, q = 1.15 C

Explanation:

It is given that,

Mass of sphere, m = 441 g = 0.441 kg

Electric field, E = 5 N/C

Due to this field, the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² such that,

q = 1.146 C

or

q = 1.15 C

So, the charge carried by the small sphere is 1.15 C. Hence, this is the required solution.