A physics scholar took two spring balances `S_(1) and S_(2)` that are calibrated on the surface of the Moon and the Earth, respectively. He then weight a body using both `S_1 and S_2` at a given place on the surface of the Earth. He determined the ratio of the readings. What is the ratio?

Explanation

To solve the problem of determining the ratio of the readings from two spring balances calibrated on the Moon and Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Spring Balance**:
- A spring balance measures weight based on the spring force, which is given by Hooke's Law: \( F = kx \), where \( F \) is the force exerted by the weight, \( k \) is the spring constant, and \( x \) is the displacement of the spring from its equilibrium position.

2. **Weight on Earth**:
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