Question

A block of mass $4kg$ and dimensions $10cm\times 20cm\times 30cm$ rests on the floor. If $g=10m$ $s^{-1}$, then the maximum pressure the block can exert on the floor is

• A. $2000N$ $m^{-2}$
• B. $1000N$ $m^{-2}$
• C. $4000N$ $m^{-2}$
• D. $1333N$ $m^{-2}$

Answer 1

The correct option is A $2000N$ $m^{-2}$

R.E.F image.

To maximize the pressure on block

$\to$ so area of block of contact force should

be min

$P_{max}=\frac{F_{earth}}{A_{min}}$ $F_{earth}=mg$

$\frac{mg}{(10\times 20)}\times {10}^{-4}{m}^2$

$=\frac{4\times 10}{10\times 20\times {10}^4}N{m}^{-2}$

$=2\times {10}^3=2000N{m}^{-2}$