Weight Force Calculator

Understanding Weight Force Calculator

Weight is the gravitational force acting on an object. On Earth, g ≈ 9.81 m/s². Weight varies with location but mass remains constant.

How to use this calculator

1. Enter the object's mass in kilograms.
2. Choose or enter the local gravitational acceleration in meters per second squared, if the calculator asks for it.
3. Check the output for weight in newtons.
4. Use the result to compare how strongly gravity is pulling on the object.

The formula explained

The formula \(W = mg\) computes weight, where \(W\) is the gravitational force, \(m\) is mass, and \(g\) is gravitational acceleration. The answer is measured in newtons, because weight is a force.

• W = weight, measured in newtons
• m = mass of the object, measured in kilograms
• g = gravitational acceleration, measured in meters per second squared

Step by step method

1. Write down the mass \(m\) and the gravitational acceleration \(g\).
2. Multiply them using \(W = mg\).
3. Make sure the units are \(\text{kg}\) for mass and \(\text{m}/\text{s}^2\) for gravity.
4. State the result in newtons, \(\text{N}\).

Worked example

Problem. Find the weight of a \(12\) kg object on Earth, where \(g = 9.8\,\text{m}/\text{s}^2\).

1. Use the formula \(W = mg\).
2. Substitute the values: \(W = 12 \times 9.8\).
3. Compute the product: \(W = 117.6\,\text{N}\).

Tips and common mistakes

• Do not confuse mass and weight, mass is measured in kilograms, while weight is measured in newtons.
• If you use the wrong value of \(g\), the weight will be incorrect, so check whether the problem is on Earth or another body.

Frequently asked questions