What pressure (in Pa) will be exerted on the bottom of a 63.5 kg hiker's foot when she stands on a rusty nail? Assume the diameter of the tip of the nail is 1.00 mm.The acceleration due to gravity is 9.81 m/s².Recall that the area of a circle is A = $\pi$ r² and that 1 Pa =1 kg m^-1 s^-2.

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Quizplus · Accepted Answer

The pressure is calculated using the formula P = F/A, where F = mg and A = πr². The force F is 63.5 kg * 9.81 m/s² = 623.835 N. The radius r is 0.5 mm = 0.0005 m, so A = π(0.0005 m)² = 7.85 x 10⁻⁷ m². Thus, P = 623.835 N / 7.85 x 10⁻⁷ m² = 7.93 x 10⁸ Pa.

What Pressure (In Pa) Will Be Exerted on the Bottom π\piπ

What Pressure (In Pa) Will Be Exerted on the Bottom $\pi$