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:
Show me the final answer↓
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
Very Good! So easy to understand.