Question

For the system shown in fig 3.49, x and y denote, respectively, the absolute displacements of the mass m and the end q of the dashpot c₁.

a) x = y
b) x > y
c) x < y
d) x = 2y

Answer 1

The potential energy is maximum when the -1.00 µC charge is at (0, 0) because it is equidistant to the two positive charges, and the kinetic energy is minimum if it momentarily stops at this point. Therefore the correct option is b) x > y.

Step-by-step explanation:

When considering the potential energy and kinetic energy of a charge system, we look at the position of charges in relation to each other. For the system with two 2.00 µC charges positioned at (50 cm, 0) and (-50 cm, 0), and a -1.00 µC charge moving in the -y-direction, it is important to consider the interactions between these charges.

When the -1.00 µC charge is at (0, 0), it is equidistant from the two positive charges, which means the electric potential energy of the system is maximum due to their positions.

The kinetic energy of the -1.00 µC charge is at a minimum when at (0, 0), assuming it momentarily stops before reversing direction due to the repulsive force from the positive charges.

Therefore, the correct answer to the question is: b) maximum, minimum.