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# Weight Formula

The weight formula is used to find the exact weight of the body on a particular field of gravity. Weight is a force experienced by any mass due to gravity. Newton is the SI unit of weight. W is used to denote weight. Weight may vary depending upon the force of gravity experienced by the body.

## What Is the Weight Formula?

The weight of an object is the product of its mass and acceleration due to gravity. The basic formulas to find the weight is: W = mg (Newton)

where,

- W is the weight of the object in Newton
- m is the mass of the object in kg
- g is the acceleration due to gravity. On the earth, the value of g is 9.8 m/s
^{2}.

Let us see the applications of the formula to find weight in the following section.

## Example on Weight Formula

**Example 1:** The mass of the body is 50 kg. Calculate the weight using the weight formula. (Hint: use g = 9.8 m/s^{2}.

**Solution:**

To find the weight of the body.

Mass = 50 kg (given)

Using the formula to find weight,

W = mg

W = 50 × 9.8

W = 490 N

**Answer:** The weight of the body is 490 N

**Example 2:** If the weight of the body on the moon is 500N, find its mass. The value of g in the moon is 1.62 m/s^{2}.

**Solution:**

To find the mass of the body.

Weight of the body on the moon = 500 N (given)

Using the formula to find weight,

W = mg

Mass of the body = W/g

Mass of the body = 500/1.62

Mass of the body = 308.64 kg

**Answer:** Mass of the body is 308.64 kg

**Example 3:** The mass of the body is 50 kg and the weight of the body is 490 N. With the help of the weight formula prove that g = 9.8 m/s^{2}.

**Solution:**

To prove, g = 9.8 m/s^{2}

Weight of the body = 490 N (given)

Mass = 50 kg (given)

Using the formula to find weight,

W = mg

g = W/m

g = 490/50

g = 9.8

Hence Proved g = 9.8 m/s^{2}

## FAQ's on Weight Formula

### What Is 'm' in Weight Formula?

The general formula to find the weight is given as, W = mg (N/kg). Here 'm' represents the mass of the object.

### What Is 'g' in Weight Formula?

The general formula to find the weight is given as, W = mg (N/kg). Here 'g' represents the acceleration due to gravity. On the earth, the value of g is 9.8 m/s^{2}. It is also known as the gravitational constant.

### How Do You Calculate Mass Using Weight Formula?

If the weight of an object is given then by molding the general formula of weight we can calculate mass. It can be expressed as the product of mass and the acceleration of gravity.

W = mg

M = W × g

M = Wg (kg). Here g is a gravitational constant with a fixed value (9.8 m/s^{2})

### What Is the Formula To Calculate the Weight?

To calculate weight we use the general formula mentioned below:

W = mg. Where 'W' is the weight of the object, 'm' is the mass of the object, and 'g' is the acceleration due to gravity. On the earth, the value of g is 9.8 m/s^{2}.

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