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Q.

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 ms-2)

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a

6.4 × 104 Pa

b

6.4 × 105 Pa

c

6.4 × 106  Pa

d

6.4 × 107 Pa

answer is C.

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Detailed Solution

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Here, m = 50 kg, D = 1 cm = 10-2 m, g = 10 ms-1

Pressure exerted by the heel on the horizontal floor is

p = FA = mgπ(D2)2 = 4mgπD2

  = 4×50 kg × 10 ms-23.14 × (10-2m)2

6.4 × 106 Pa

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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 ms-2)