A metal block has a mass of 4 kg and a volume of 0.002 m². Find its density. 2. A force of 500 N acts on an area of 0.25 m². Calculate the pressure exerted. 3. Calculate the pressure at a depth of 8 m in water. (Take p = 1000 kg/m³, g = 9.8 m/s²

Mass, $m = 4 \text{ kg}$
Volume, $V = 0.002 \text{ m}^3$

Density ($\rho$) is defined as mass per unit volume:

The density of the metal block is:

2. Calculate the pressure exerted.

Force, $F = 500 \text{ N}$
Area, $A = 0.25 \text{ m}^2$

Pressure ($P$) is defined as force per unit area:

The pressure exerted is:

3. Calculate the pressure at a depth of 8 m in water.

Depth, $h = 8 \text{ m}$
Density of water, $\rho = 1000 \text{ kg/m}^3$
Acceleration due to gravity, $g = 9.8 \text{ m/s}^2$

The pressure ($P$) at a depth $h$ in a fluid is given by:

The pressure at a depth of 8 m in water is: