Final answer:
The charge density on the surface of the ball bearing can be calculated using the formula: Charge density = Total charge / Surface area. The charge density on the ball bearing's surface is approximately 5.518*10^14 C/m².
Step-by-step explanation:
The charge density on the surface of the ball bearing can be calculated using the formula:
Charge density = Total charge / Surface area
The total charge on the ball bearing is given as 2.10×10^9 excess electrons. To calculate the surface area, we need to find the radius of the ball bearing first. The diameter is given as 1.10 mm, so the radius would be half of that which is 0.55 mm or 0.00055 m. Using the formula for the surface area of a sphere, we can calculate it as:
Surface area = 4πr²
Plugging the values into the formulas, we get:
Surface area = 4π(0.00055)^2 = 3.801*10^-6 m²
Charge density = (2.10×10^9) / (3.801*10^-6) = 5.518*10^14 C/m²
Therefore, the charge density on the ball bearing's surface is approximately 5.518*10^14 C/m².