plastic tank

[logistic_guy]

A \(\displaystyle 6\)-kg plastic tank that has a volume of \(\displaystyle 0.18 \ \text{m}^3\) is filled with liquid water. Assuming the density of water is \(\displaystyle 1000 \ \text{kg/}\text{m}^3\), determine the weight of the combined system.

 

[khansaheb]

A \(\displaystyle 6\)-kg plastic tank that has a volume of \(\displaystyle 0.18 \ \text{m}^3\) is filled with liquid water. Assuming the density of water is \(\displaystyle 1000 \ \text{kg/}\text{m}^3\), determine the weight of the combined system.

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem

 

[logistic_guy]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

Thank you.

 

[khansaheb]

A \(\displaystyle 6\)-kg plastic tank that has a volume of \(\displaystyle 0.18 \ \text{m}^3\) is filled with liquid water. Assuming the density of water is \(\displaystyle 1000 \ \text{kg/}\text{m}^3\), determine the weight of the combined system.

Remember that the unit of weight in SI units is - newton.

 

[logistic_guy]

Remember that the unit of weight in SI units is - newton.

Thank you. I thought Newton was a guy

 

[logistic_guy]

determine the weight of the combined system.

\(\displaystyle m = m_1 + m_2 = m_1 + \rho V = 6 + 1000(0.18) = 186 \ \text{kg}\)

Then, the weight is:

\(\displaystyle W = mg = 186(9.8) = \textcolor{blue}{1822.8 \ \text{N}}\)

 

[kurksai]

A \(\displaystyle 6\)-kg plastic tank that has a volume of \(\displaystyle 0.18 \ \text{m}^3\) is filled with liquid water. Assuming the density of water is \(\displaystyle 1000 \ \text{kg/}\text{m}^3\), determine the weight of the combined system.




















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Here is the quick math for this:

Mass of the water: 0.18 m³ × 1000 kg/m³ = 180 kg.

Total mass: 180 kg (water) + 66 kg (tank) = 246 kg.

Total weight: Since weight is mass × gravity (9.81 m/s²), you just multiply: 246 kg × 9.81 = 2413.26 Newtons.

(Just make sure to check if your class uses 9.8 or 9.81 for gravity, as it might slightly change the decimals!)