Discussion Forum

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that this density remains the same, the stress in the leg will change by a factor of

Answer:

Explanation:

$Stress=\frac{Weight}{Area}$

     Volume will become (9³) times.

   So weight= volume × density × g will also becomes (9)³ times.

 Area of cross section will become (9)² times.

                  $=\frac{9^{3}\times W_{0}}{9^{2}\times A_{0}}=9 (\frac{W_{0}}{A_{0}})$

     Hence, the stress increases by a factor of 9