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Question: A 50 kg girls wearing heel shoes balances on a single heel. The heel is circular with a diameter 1 c...

A 50 kg girls 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

A

6.4×104 Pa6.4 \times 10 ^ { 4 } \mathrm {~Pa}

B

6.4×105 Pa6.4 \times 10 ^ { 5 } \mathrm {~Pa}

C

6.4×106 Pa6.4 \times 10 ^ { 6 } \mathrm {~Pa}

D

6.4×107 Pa6.4 \times 10 ^ { 7 } \mathrm {~Pa}

Answer

6.4×106 Pa6.4 \times 10 ^ { 6 } \mathrm {~Pa}

Explanation

Solution

Here, m = 50 kg,

\therefore Pressure exerted by the heel on the horizontal floor is

=4×50 kg×10 ms23.14×(102 m)2= \frac { 4 \times 50 \mathrm {~kg} \times 10 \mathrm {~ms} ^ { - 2 } } { 3.14 \times \left( 10 ^ { - 2 } \mathrm {~m} \right) ^ { 2 } }

=6.4×106 Pa= 6.4 \times 10 ^ { 6 } \mathrm {~Pa}