What is the mass of a cube of copper

Question

Assignment:

Problems:

1. Solid Copper has a density of 8960 Kg/m³. What is the mass of a cube of copper with side length 0.1 m?

2. Liquid mercury has a density of 13,534 Kg/m³. What is the pressure difference (gauge pressure) between a point on the surface and one point 1 m deep inside a tank of mercury?

3. Under the assumption that the density of the air does not change with the altitude, using equation P-P₀ = ρgh , the air density  = 1 Kg/m³ , P₀ = 0 Pa outside earth atmosphere, P = 1*10⁵ Pa at the earth surface, calculate the height h of the earth atmosphere.

4. A hydraulic pressure needs to lift a 3,000 Kg load (against gravity) by using an input force of 1000 N. All frictions are negligible and the area of the platform under the load is 10 m². Calculate the (maximum) area of the section of the pump where the input force is applied.

5. The following picture depicts a solid object completely submerged into a homogenous fluid.

(i) Is the pressure at point (A) higher, as high as, or lower than pressure at point (B)?

(ii) Is the pressure at point (A) higher, as high as, or lower than pressure at point (C)?