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Question: Answered & Verified by Expert
50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.0 cm. What is the pressure exerted on the horizontal floor?
PhysicsMechanical Properties of SolidsNEET
Options:
  • A 6.24 × 106 Pa
     
  • B 5.63 × 107 Pa
     
  • C 4.81 × 106 Pa
     
  • D 7.19 × 107 Pa
     
Solution:
1934 Upvotes Verified Answer
The correct answer is: 6.24 × 106 Pa
 
Given, mass of girl (m) = 50 kg

Diameter of circular heel (2r) = 1.0 cm

Radius (r) = 0.5 cm

= 5 × 10-3 m

Area of the circular heel (A) = πr2

= 3.14 × (5 × 10-3)2  m2

= 78.50 × 10-6  m2

The pressure exerted on the horizontal floor

p = F A = mg A

= 50 × 9.8 78.50 × 10 - 6

= 6.24 × 106 Pa
 

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