Question

10. In deep space, two spheres of negligible size are connected by a 200-meter nonconducting cord. If a uniformly distributed charge of 0.04 C resides on the surface of each sphere, calculate the tension in the cord. a. 1,800 newtons b. 9,600 newtons c. 18,000 newtons d. 4,500 newtons e. 0 newtons

Answer 1

Answer:

359.2 N

Explanation:

The tension in the cord is due to the repulsive electrostatic force between the charged spheres connected by the cord.

$T=k\frac{Q^2}{d^2}$

k is the Coulomb constant = 8.98×10⁹ Nm²/C²

Q= 0.04 C

d = 200 m

$T=8.98\times10^9\frac{(0.04)^2}{(200)^2} =359.2 N$