A styrofoam ball covered with a conducting paint has a mass of 5.0 x 10 ^-3 kg and has a charge of 4.0 microcoulombs. What electric field directed upward will balance the weight of the ball?
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E=/F/ divide by /q/
To find the electric field that will balance the weight of the ball, we can use the formula:
Electric field (E) = Weight (mg) / Charge (q)
Given:
Mass (m) = 5.0 x 10^-3 kg
Charge (q) = 4.0 * 10^-6 C
Step 1: Calculate the weight of the ball.
The weight of an object is given by the formula: Weight (W) = mass (m) * gravitational acceleration (g).
Since the problem doesn't provide a specific value for the gravitational acceleration, we can use the standard value of 9.8 m/s^2.
Weight (W) = (5.0 x 10^-3 kg) * (9.8 m/s^2)
Weight (W) = 4.9 x 10^-2 N
Step 2: Calculate the electric field.
Electric field (E) = Weight (W) / Charge (q)
Electric field (E) = (4.9 x 10^-2 N) / (4.0 x 10^-6 C)
Electric field (E) = 1.225 x 10^4 N/C
Therefore, an electric field magnitude of 1.225 x 10^4 N/C directed upward will balance the weight of the styrofoam ball covered with conducting paint.