Understanding Weight and Gravity for Weight Calculation

Weight is the force exerted on an object due to gravity. It is different from mass, which is the amount of matter in an object. The weight of an object depends on its mass and the acceleration due to gravity at its location. The formula used for weight calculation is:

\(W = m \times g\)

Where:

• \(W\) is the weight of the object (measured in Newtons, N)
• \(m\) is the mass of the object (measured in kilograms, kg)
• \(g\) is the acceleration due to gravity (measured in meters per second squared, m/s²)

Applying the Physics Formula for Weight Calculation

In this question, we are given the following information:

• Mass of the object (\(m\)) = 40 kg
• Acceleration due to gravity (\(g\)) = 9.8 m/s²

We need to calculate the weight (\(W\)) of the object using the physics formula \(W = m \times g\).

Step-by-Step Weight Calculation

Let's substitute the given values into the formula:

\(W = 40 \text{ kg} \times 9.8 \text{ m/s}^2\)

Now, perform the multiplication to find the weight:

\(W = 392 \text{ kg} \cdot \text{m/s}^2\)

The unit kg ⋅ m/s² is defined as a Newton (N). Therefore, the weight is:

\(W = 392 \text{ N}\)

This completes the weight calculation.

Final Result of the Weight Calculation

The calculated weight of the object is 392 Newtons. This result aligns with one of the given options.

Understanding the concepts of mass, gravity, and the relationship between them through the weight calculation formula is fundamental in physics.