Ncert Exercises & Solutions

10.5 A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?

G i v e n,

m = 50 k g

d = 1 c m = 0.01 m

r = \frac{d}{2} = \frac{0.01}{2} = 0.005 m

N o w,

A r e a o f h e e l, A = π r^{2} = \frac{22}{7} \times {(0.005)}^{2}

= 7.85 \times 10^{- 5} m^{2}

F o r c e e x e r t e d b y t h e h e e l o n t h e f l o o r, F - = m g

= 50 \times 9.8 = 490 N

H e n c e, p r e s s u r e, P = \frac{F}{A}

= \frac{490}{7.85 \times 10^{- 5}} = 6.24 \times 10^{6} N m^{- 2}

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