(a) A small amber bead with a mass of 14.4 g and a charge of -0.65 μC is suspended in equilibrium above the center of a large, horizontal sheet of glass that has a uniform charge density on its surface. Find the charge per unit area on the glass sheet (in µC/m²). HC/m² (b) What If? What are the magnitude and direction of the acceleration of the piece of amber if its charge is doubled? (Enter the magnitude in m/s².) magnitude m/s² direction -Select---

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Chapter1: Units, Trigonometry. And Vectors
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### Physics Problem: Electrostatics with Uniform Charge Density

**(a)** A small amber bead with a mass of 14.4 g and a charge of \(-0.65\) μC is suspended in equilibrium above the center of a large, horizontal sheet of glass that has a uniform charge density on its surface. Find the charge per unit area on the glass sheet (in μC/m²).

\[ \text{Charge per unit area:} \; \_\_\_\_\_\_\_\_\_ \; \text{μC/m}^2 \]

**(b) What If?** What are the magnitude and direction of the acceleration of the piece of amber if its charge is doubled? (Enter the magnitude in m/s².)

   - **Magnitude:** \[ \text{Magnitude:} \; \_\_\_\_\_\_ \; \text{m/s}^2 \]

   - **Direction:** \[ \text{Direction:} \; \_\_\_\_\_\_ \]

Please select the appropriate direction from the given options.

This problem involves understanding the electrostatic force between a charged object and a charged surface, equilibrium conditions, and the effect of modifying the charge on the resultant force and acceleration.
Transcribed Image Text:### Physics Problem: Electrostatics with Uniform Charge Density **(a)** A small amber bead with a mass of 14.4 g and a charge of \(-0.65\) μC is suspended in equilibrium above the center of a large, horizontal sheet of glass that has a uniform charge density on its surface. Find the charge per unit area on the glass sheet (in μC/m²). \[ \text{Charge per unit area:} \; \_\_\_\_\_\_\_\_\_ \; \text{μC/m}^2 \] **(b) What If?** What are the magnitude and direction of the acceleration of the piece of amber if its charge is doubled? (Enter the magnitude in m/s².) - **Magnitude:** \[ \text{Magnitude:} \; \_\_\_\_\_\_ \; \text{m/s}^2 \] - **Direction:** \[ \text{Direction:} \; \_\_\_\_\_\_ \] Please select the appropriate direction from the given options. This problem involves understanding the electrostatic force between a charged object and a charged surface, equilibrium conditions, and the effect of modifying the charge on the resultant force and acceleration.
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