High School

In one of the pans of the beam balance, the masses 3 kg, 900 g, 90 g, and 5 g are placed. What amount of mass should be placed on the other side of the beam balance to make it balanced?

Answer :

Final answer:

You should place a mass of 3995 g on the other side of the beam balance to achieve balance. All weights were first converted to grams and then added together.

Explanation:

To solve this problem, you need to first convert the weights to the same unit for simplicity. Let's convert everything to grams. So, 3 kg = 3000 g. Now, we simply add all the masses together: 3000 g (from 3 kg) + 900 g + 90 g + 5 g = 3995 g. Therefore, you should place a mass of 3995 g on the other side of the beam balance to make it balanced. This is because a double-pan mechanical balance achieves equilibrium (i.e., becomes balanced) when the masses in both pans are equal.

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