The weight of a body is equal to the _____________.

The weight of a body is equal to the force exerted by gravity on its mass. This relationship can be calculated using a well-defined formula. Below is a detailed explanation to understand the concept of "weight equal to" and how to calculate it.

Step 1: Definitions

• Mass: Mass is a measure of the amount of matter in an object. It is expressed in kilograms (kg).
• Weight: Weight is equal to the gravitational force acting on an object's mass. It is a vector quantity measured in Newtons (N).

Step 2: Formula for Weight

The formula for calculating weight is given by:

        Weight (W) = Mass (m) × Acceleration due to gravity (g)

Where:

• W: Weight of the object (in Newtons, N).
• m: Mass of the object (in kilograms, kg).
• g: Acceleration due to gravity (approximately 9.81 m/s² on Earth).

Step 3: Determining the Correct Option

Given the question, "The weight of a body is equal to the _____________," we analyze the options:

1. Mass multiplied by gravity (Correct).
2. Mass divided by gravity.
3. Gravity over mass.
4. Nanopiece.

The correct answer is option 1: mass multiplied by gravity, as the weight of a body is equal to this mathematical relationship.

Step 4: Example Calculation

To better understand how the weight of a body is equal to mass times gravity, let's consider an example:

        If an object has a mass of 20 kg:
        Weight (W) = 20 kg × 9.81 m/s2
                   = 196.2 N

Thus, the weight equal to this object is 196.2 Newtons.

Conclusion

In conclusion, the weight of a body is equal to its mass multiplied by the acceleration due to gravity. Understanding the concept of "weight equal to" is essential for various scientific and practical applications. Always remember:

Weight = Mass × Gravity

This simple formula explains how weight is influenced by gravitational force acting on the mass of an object.