Question

A 3kg plastic tank that has a volume of 0.2m ^3 Is filled with liquid water . Assuming the density of water is 1000kg/m^3 determine the weight of the combined system

Answer 1

The weight of the combined system is 1989.8 N.

Step-by-step explanation:

The weight, W, of an object can be expressed as;

W = mg

where m is the mass of the object, and g is the acceleration due to gravity.

Weight of the combined system = weight of tank + weight of water

mass of the plastic tank = 3 kg

weight of the plastic tank = m x g

= 3 x 9.8

= 29.4 N

Weight of the plastic tank is 29.4 N

But,

density =
`(mass)/(volume)`

mass = density x volume

volume of water = 0.2
`m^(3)`, density of water = 1000 kg/
`m^(3)`.

mass = 1000 x 0.2

= 200

mass of water = 200 kg

weight of water = 200 x 9.8

= 1960 N

Thus,

combined weight of the system = 29.4 + 1960

= 1989.8 N

The weight of the combined system is 1989.8 N.