Let me ask you a question. Do you ever feel that today your lunch box is lighter or heavier than other days? Or sometimes you feel your bag is heavier than your friend’s bag. Here the heaviness of the bag is nothing but the weight of your bag. Let us study the topic in detail and also see how it is been measured for different quantities. Let us do it right now.

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## Weight

Do you know what is meant by the weight of an object? Let us see what this exactly means. The weight of an object is the measure of the heaviness of an object. You can use a kilogram to express your weight. But there can be other units for measuring weights.

What if you want to express the weight of lighter objects? In such cases, grams is used to measure it. A gram is the lighter unit. Generally, these units are written as follows;

- A kilogram is ‘ Kg ‘
- Gram is ‘ gm ‘
- 1 kg = 1000 gm
- 1 gm = 1000 mg (milligram)

A weighing scale is used to measure the weight of the object. Suppose you want to measure the weight of a watermelon. How will you do that?

You can use a weighing scale for measuring it watermelon. Take a weighing scale and keep weights on one side of the pan while the object to be measured on the other pan. Suppose you keep 1 kg on the pan and a watermelon on the other side of the pan and if both the pan weights equal, then the weight of the watermelon is 1 kg.

### The Weight of a Combination of Objects

When calculating the weight of combined objects, they are always represented in the same quantity. For example, if we want to calculate the total weight of an object having a sphere and a cube where the sphere is of 500 gm and cube is of 1 kg.

Solution: Weight of the sphere in kg = \( \frac{500 × 1000}{(1000)} \) = 0.5 kg. Thus, the total weight of cube and sphere = 0.5 + 1 = 1.5 kg. We cannot have a separate unit for every weight.

Suppose your mother asks you to buy 1 kg of potatoes. You see that the vendor keeps two 500 gm weights on the balance. But you want to buy 1 kg of potatoes. But do you know 500 gm + 500 gm = 1000 gm which is equal to 1 kg. So yes the shopkeeper is absolutely right. 500 gm two times make 1000 gm.

## Solved Examples for You

Question 1: Weight of one balloon is 3 gms and of one string is 4 gms. Then what is the combined weight of 3 balloons and 6 strings?

- 9 gms
- 24 gms
- 33gms
- 41 gms

Solution: C is the correct option. The weight of 3 balloons and 6 strings is 33 gms.

Question 2: Sara bought 10 apples and 55 bananas and Sudha bought 6 apples and 9 bananas. If one apple weighs 250 g whereas 11 banana weighs 200 g then who bought more fruits in terms of weight?

- Sudha bought more 400 g
- Sara bought more 250 g
- Sudha bought more 300 g
- Sara bought more 200 g

** Question.** How can one calculate weight?

**Answer.** The weight of an object refers to as the force of gravity that is acting on the object. Furthermore, its calculation is mass times the acceleration of gravity, w = mg. The SI unit of weight is the newton because weight is a force.

**Question.** In simple words, explain weight?

**Answer.** In simple words, the weight of an object refers to the measure of force that is imposed on this object due to the local gravitational field. Furthermore, objects which have the same mas in the same gravitational field, also have the same weight.

**Question.** Explain the difference between mass and weight?

**Answer.** Mass refers to a measurement of the amount of matter that is possessed by something. Furthermore, weight refers to the measurement of the pull of gravity that is acting on an object. The measurement of mass takes place by a balance that compares a known amount to an unknown amount of matter. Measurement of weight takes place by a scale.

**Question.** How can one convert mass to weight?

**Answer. ** To calculate the weight of an object in N, one must multiply its mass by 9.8 N.

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