A beaker weighs 0.4 N when empty and 1.4 when filled with water, what does it weigh when filled with brine of density 1.2g/cm3( density of water 1.0g/cm3

0.4 + 1.2/1.0 (1.4-0.4) = ___ N

A beaker weights 0.4n when filled with Water.what does it weigh when filled with brine of density 1.2g cm3 .density of water is 1.0g cm3

To calculate the weight of the beaker when filled with brine, we need to first determine the volume of the brine in the beaker.

The weight of the beaker when empty is 0.4 N, and when filled with water, it is 1.4 N. This means that the weight of the water in the beaker is 1.4 N - 0.4 N = 1.0 N.

To find the volume of water in the beaker, we can use the formula:

Volume = Weight / Density

Given that the density of water is 1.0 g/cm³, we can convert the weight of the water to grams:

1.0 N = 1.0 kg * 1000 g/1 kg = 1000 g

Now we can find the volume of water:

Volume of water = 1000 g / 1.0 g/cm³ = 1000 cm³

To find the weight of brine, we need to use the volume and density of the brine. The density of the brine is given as 1.2 g/cm³.

Weight of brine = Volume * Density
= 1000 cm³ * 1.2 g/cm³
= 1200 g

Finally, we can convert the weight of the brine from grams to Newtons:

Weight of brine = 1200 g * 1 N/1000 g
= 1.2 N

Therefore, the beaker weighs 1.2 N when filled with brine.

To find the weight of the beaker when filled with brine, we need to first calculate the weight of the water in the beaker and then add the weight of the beaker itself.

Here's how you can do it step by step:

1. Determine the weight of the water in the beaker:
- The difference in weight between the empty beaker and the beaker filled with water is 1.4 N - 0.4 N = 1 N.

2. Calculate the volume of water in the beaker:
- The density of water is given as 1.0 g/cm3.
- Convert the density to kg/cm3 by dividing it by 1000 (since 1 g = 0.001 kg).
- The mass of water in the beaker can be obtained by dividing the weight of the water by the acceleration due to gravity (9.8 m/s2) using the formula: mass = weight / acceleration due to gravity.
- The volume of water can be calculated using the formula: volume = mass / density.

3. Determine the weight of the brine in the beaker:
- The density of brine is given as 1.2 g/cm3.
- Use the same process as step 2 to calculate the volume of brine in the beaker.
- Multiply the volume of brine by the density of brine to get the mass of brine.
- The weight of the brine can be obtained by multiplying the mass of brine by the acceleration due to gravity.

4. Calculate the total weight of the beaker filled with brine:
- Add the weight of the beaker itself to the weight of the brine.

By following these steps, you should be able to find the weight of the beaker when filled with brine.