Question

A block of weight

5 kgf

and dimensions

5 cm \times 2 cm \times 1 cm

rests on a table in three different positions with its base as

(i) 5 cm \times 2 cm (i i) 2 cm \times 1 cm (i i i) 1 cm \times 5 cm

. Calculate the pressure exerted on the table in each case.

Accepted Answer

The weight $(W)$ of the block can be converted in Newton unit as follows:

$\begin{array}{rcl} W & = & 5 kgf \\ = & 5 kg \times 9.80 {ms}^{- 2} \\ = & 49 N (1) \end{array}$

(i) The area $(A_{1})$ with the given dimension can be calculated as

$\begin{array}{rcl} A_{1} & = & 5 cm \times 2 cm \\ = & 10 {cm}^{2} \times \frac{1 m^{2}}{10^{4} {cm}^{2}} \\ = & 10^{- 3} m^{2} \end{array}$

Thus, the pressure $(P_{1})$ on the given dimension can be calculated as

$\begin{array}{rcl} P_{1} & = & \frac{W}{A_{1}} \\ = & \frac{49 N}{10^{- 3} m^{2}} \\ = & 49000 Pa \end{array}$

(ii) The area $(A_{2})$ with the given dimension can be calculated as

$\begin{array}{rcl} A_{2} & = & 2 cm \times 1 cm \\ = & 2 {cm}^{2} \times \frac{1 m^{2}}{10^{4} {cm}^{2}} \\ = & 2 \times 10^{- 4} m^{2} \end{array}$

Thus, the pressure $(P_{2})$ on the given dimension can be calculated as

$\begin{array}{rcl} P_{2} & = & \frac{W}{A_{2}} \\ = & \frac{49 N}{2 \times 10^{- 4} m^{2}} \\ = & 24.5 \times 10^{4} Pa \end{array}$

(iii) The area $(A_{3})$ with the given dimension can be calculated as

$\begin{array}{rcl} A_{3} & = & 1 cm \times 5 cm \\ = & 5 {cm}^{2} \times \frac{1 m^{2}}{10^{4} {cm}^{2}} \\ = & 5 \times 10^{- 4} m^{2} \end{array}$

Thus, the pressure $(P_{3})$ on the given dimension can be calculated as

$\begin{array}{rcl} P_{3} & = & \frac{W}{A_{3}} \\ = & \frac{49 N}{5 \times 10^{- 4} m^{2}} \\ = & 9.8 \times 10^{4} Pa \end{array}$

A block of weight $5 kgf$ and dimensions $5 cm \times 2 cm \times 1 cm$ rests on a table in three different positions with its base as $(i) 5 cm \times 2 cm (i i) 2 cm \times 1 cm (i i i) 1 cm \times 5 cm$ . Calculate the pressure exerted on the table in each case.

Important Questions on Force and Pressure

Learn and Prepare for any exam you want !

A block of weight 5 kgf and dimensions 5 cm×2 cm×1 cm rests on a table in three different positions with its base as (i) 5 cm×2 cm (ii) 2 cm×1 cm (iii) 1 cm×5 cm. Calculate the pressure exerted on the table in each case.

Important Questions on Force and Pressure

Learn and Prepare for any exam you want !

A block of weight $5 kgf$ and dimensions $5 cm \times 2 cm \times 1 cm$ rests on a table in three different positions with its base as $(i) 5 cm \times 2 cm (i i) 2 cm \times 1 cm (i i i) 1 cm \times 5 cm$ . Calculate the pressure exerted on the table in each case.