A cannon shoots a charged,5.0-kg cannon ball at some angle above horizontal ground in a region in which the electric field is given by 12.0 N/C ŷ,while gravitational acceleration is straight down,-9.8 m/s² ŷ.If the ball travels half the distance it would have if there were no electric field,what is the charge on the cannon ball?

Question

Quizplus · Accepted Answer

The electric field exerts an upward force on the charged cannonball, counteracting gravity. To reduce the range by half, the electric force must equal the gravitational force. Solving for charge using F = qE = mg gives q = -mg/E = -(5.0 kg)(9.8 m/s²)/(12.0 N/C) = -4.1 C.

A Cannon Shoots a Charged,5