99 Percentile Qs Bank for JEE MainPhysicsMechanical Properties of Solids
A 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?
Options
- A6 . 24 × 10 6 Pa
- B5 . 63 × 10 7 Pa
- C4 . 81 × 10 6 Pa
- D7 . 19 × 10 7 Pa
Correct answer
A. 6 . 24 × 10 6 Pa
Step-by-step solution
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) = πr 2 = 3.14 × (5 × 10 -3 ) 2 m 2 = 78 . 50 × 10 - 6 m 2 The pressure exerted on the horizontal floor p = F A = mg A = 50 × 9.8 78.50 × 10 - 6 = 6 . 24 × 10 6 Pa