Question

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 space N divided by C space i with hat on top . If, due to this field, the sphere suddenly acquires a horizontal acceleration of 13.0 space m divided by s squared space i with hat on top , what is the charge that it carries

Answer 1

`q = 1.15 C`

Step-by-step explanation:

Force on a charge particle due to external electric field is given as

`F = qE`

now we know that acceleration is defined as the ratio of force and mass

`a = (F)/(m)`

now we have

`a = (qE)/(m)`

`a = 13 m/s^2`

`m = 441 g = 0.441 kg`

`E = 5 N/C`

now we have

`13 = (q(5))/(0.441)`

`q = 1.15 C`