A 50 kg girl wearing heel shoes balances on a single heel. The heel is circular with a diameter 1 cm. The pressure exerted by the heel on the horizontal floor is `(Take g = 10 m s^(-2))`

Options

A. `6.4 xx 10^4 Pa`
B. `6.4 xx 10^5 Pa`
C. `6.4xx 10^6 Pa`
D. `6.4 xx 10^7Pa`

Answer

C

Explanation

(c ) Here, m = 50 kg, D = 1 cm ` 1-^(-2)m, g = 10 ms^(-1)` :. Pressure exerted by the heel on the horizontal floor is
`p = (F)/(A) = (mg)/(pi(D//2)^2) = (4mg)/(pi D^2)`
`=(4xx 50 kgxx 10 ms^(-2))/(3.14 xx (10^(-2)m)^2)`
`6.4 xx 10^6 Pa`