A 150-g block on the end of a spring with a spring constant of 35N/m is pulled aside 25 cm

and released from rest. In the electrical analog the maximum charge on the capacitor is 0.25 C.
The maximum current in the LC circuit is:

0.38

To determine the maximum current in the LC circuit, we need to calculate the maximum potential difference across the capacitor and then divide it by the inductance of the circuit.

1. Start by determining the maximum potential energy stored in the spring. The potential energy in a spring is given by the formula: PE = (1/2) * k * x^2, where k is the spring constant and x is the displacement from equilibrium position.
Given:
- Spring constant (k) = 35 N/m
- Displacement (x) = 0.25 m (as the block is pulled aside 25 cm)

Calculation:
PE = (1/2) * 35 * (0.25)^2
= 0.546875 J

2. The maximum potential energy stored in the spring is equal to the maximum potential energy stored in the capacitor. Therefore, the maximum potential difference across the capacitor is equal to the potential energy stored in it. Let's assume Vc represents the maximum potential difference across the capacitor.
Given:
- Maximum charge on the capacitor (Q) = 0.25 C

Calculation:
Vc = Q / C
where C is the capacitance of the capacitor.

As the problem does not provide the value of C, we cannot calculate the maximum potential difference. Please provide the capacitance value for further calculations.

To find the maximum current in the LC circuit, we need to determine the maximum charge on the capacitor and use that value in the formula for maximum current.

Since we know the maximum charge on the capacitor is 0.25 C, we can use the formula for maximum current in an LC circuit:

Imax = Qmax / √(L*C)

Where:
Imax is the maximum current,
Qmax is the maximum charge on the capacitor,
L is the inductance of the circuit, and
C is the capacitance of the circuit.

In this case, we are given Qmax = 0.25 C.

However, we don't have the values for L (inductance) and C (capacitance) in the LC circuit. Without these values, we cannot calculate the maximum current in the circuit.