Due to electric effects on the earth and in the atmosphere, there is an electric field near the earth's surface that points down. Assuming the electric field is uniform with a magnitude of 150 N/C, what charge would a 145 g baseball need to float as though it were weightless?

Give your answer for the magnitude of the required charge in C:

1 answer

To find the charge needed for the baseball to float, we can use the equation F = qE, where F is the force of the electric field, q is the charge, and E is the electric field strength.

Given:
Electric field strength (E) = 150 N/C
Mass of the baseball (m) = 145 g = 0.145 kg
Acceleration due to gravity (g) = 9.8 m/s^2

Since the baseball is weightless when floating, the electrical force acting on it will balance the force of gravity:
qE = mg
q(150) = (0.145)(9.8)
q = 0.145(9.8) / 150
q = 0.00949 C

Therefore, the required charge for the baseball to float as though it were weightless is 0.00949 C.