Introduction:
The value of 'g' represents the acceleration due to gravity at a specific location. It is a constant that determines the force of attraction between objects and the Earth. In this scenario, we have an object with a mass of 10kg that is being weighed on a spring balance, resulting in a reading of 9.81kg. We will now explain the value of 'g' at this place and the relationship between mass, weight, and gravity.

Explanation:
1. Weight and Mass:
Weight and mass are two different quantities. Mass represents the amount of matter contained within an object and is measured in kilograms (kg). It is a scalar quantity and remains the same regardless of the location. Weight, on the other hand, represents the force exerted by gravity on an object and is measured in newtons (N). Weight is a vector quantity and can vary depending on the location and the strength of the gravitational field.

2. Relationship between Weight and Gravity:
The weight of an object is directly proportional to the acceleration due to gravity. The formula to calculate weight is given by:
Weight = mass x acceleration due to gravity (W = mg)

3. Acceleration due to Gravity:
The acceleration due to gravity, denoted by 'g', is a constant that determines the strength of the gravitational field at a specific location. On the surface of the Earth, 'g' has an average value of approximately 9.81 m/s^2. This means that for every kilogram of mass, an object will experience a force of 9.81 newtons due to gravity.

4. Determining 'g' from the Spring Balance Reading:
In this scenario, the spring balance is reading 9.81kg when the object with a mass of 10kg is weighed. The reading on the spring balance represents the force exerted by the object, which is equal to its weight. Therefore, we can equate the reading on the spring balance to the weight of the object:
Weight = 9.81kg = mass x acceleration due to gravity

5. Calculating 'g' from the Spring Balance Reading:
Rearranging the equation to solve for 'g', we have:
9.81kg = 10kg x g

Dividing both sides of the equation by 10kg:
g = 9.81kg / 10kg
g = 0.981 m/s^2

Therefore, the value of 'g' at this particular location is 0.981 m/s^2.