Draw a simple diagram of a hydraulic jack and explain its working.

Pressure is _____ in all directions about a point in a liquid.

(choose from same/different)

Pressure at a point inside a liquid is _____ to its depth.

(Choose from directly proportional/inversely proportional)

A hammer exerts a force of $1.5 \mathrm{N}$ on each of the two nails A and B. The area of cross-section of tip of nail A is $2 {\mathrm{mm}}^2$ while that of the nail B is $6 {\mathrm{mm}}^2$. Calculate pressure on each nail in pascal.

A block of iron of mass $7.5 \mathrm{kg}$ and of dimensions $12 \mathrm{cm}\times 8 \mathrm{cm}\times 10 \mathrm{cm}$ is kept on a table-top on its base of side $12 \mathrm{cm}\times 8 \mathrm{cm}$. Calculate the thrust exerted on the table-top.$\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$

A block of iron of mass $7.5 \mathrm{kg}$ and of dimensions $12 \mathrm{cm}\times 8 \mathrm{cm}\times 10 \mathrm{cm}$ is kept on a table-top on its base of side $12 \mathrm{cm}\times 8 \mathrm{cm}$. Find  the  pressure exerted on the table-top.$\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$

A vessel contains water up to a height of $1.5 \mathrm{m}$. Taking the density of water ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$, acceleration due to gravity $9.8 \mathrm{m} {\mathrm{s}}^{-2}$ and the area of the base of the vessel $100 {\mathrm{cm}}^2$, calculate the pressure at the base of the vessel.

A vessel contains water up to a height of $1.5 \mathrm{m}$. Taking the density of water ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$, acceleration due to gravity $9.8 \mathrm{m} {\mathrm{s}}^{-2}$ and the area of base of vessel $100 {\mathrm{cm}}^2$, calculate the thrust at the base of the vessel.

The area of base of a cylindrical vessel is $300 {\mathrm{cm}}^2$. Water$\left(\mathrm{density}=1000 \mathrm{kg} {\mathrm{m}}^{-3}\right)$ is poured into it up to a depth of $6 \mathrm{cm}$. Calculate the pressure of water on the base. $\left(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$.