A 3-kg plastic tank that has a volume of 0.2\,\text{m}^3 is filled with liquid water. Assuming the density of water is 1000 kg/\text{m}^2, determine the weight of the combined system.

#### Solution:

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We know that the density of water is 1000 kg/\text{m}^2. We can use the following equation to figure out the weight of the combined system.

m=\rho V

(Where m is mass, \rho is density, and V is volume)

Substitute the values we know:

m=\rho V

m=(1000)(0.2)

m=200 kg

m=(1000)(0.2)

m=200 kg

The combined mass is the mass of the tank plus the water.

m_{total}=3+200

m_{total}=203 kg

m_{total}=203 kg

The weight can then be calculated using the following equation:

W=mg

(Where W is weight, m is mass and g is force of gravity)

Substitute the values we know:

W=mg

W=(203)(9.81)

W=1991.43 N

W=(203)(9.81)

W=1991.43 N

#### Final Answer:

W=1991.43 N