D

Physics

12 viewed last edited 1 year ago
Anonymous
0
Two pieces of tape have equal charges of 1.5x10^-8 C, and they exert a repulsive force of 0.081 N on each other. What is the distance between the pieces of tape?
Mahesh Godavarti
2

Step 1: Identify the information given.

Force = 0.081 N

Charge = 1.5 \times 10^{-8} C


Step 2: Identify what needs to be calculated

Distance


Step 3: Identify the relationship that ties information given to information sought.

Coulomb's law, F = k_e \frac{q_1 q_2}{r^2} where


k_e = 8.99 \times 10^9 N m^2 C^{-2}


Step 4: Solve for r

r = \sqrt{\frac{k_e q_1 q_2}{F}} = \sqrt{\frac{8.99 \times 10^9 \times 2.25 \times 10^{-16}}{0.081}} = 0.00499722145 m \approx 5 mm