Question

Jane has a mass of 55 kg and his body covers 700 nails with a surface area of 1.00 mm,

what is the pressure exerted on his body? What would be the pressure if Jane napped
on a bed make of only one nail?

Answer 1

We have,

• Jane mass is 55 kg
• His body covered with 700 nails all of them having a surface area of 1.00 mm² each = 700 × 1 = 700 mm² = 700/1000000 = 7/10000

We know that,

• Pressure = Force/Area

Let's calculate force as we already have area;

• F = ma
• F = 55 × 9.8 { Acceleration due to gravity }
• F = 539 N

Now, if should she would be on 700 nails then pressure will be;

• P = F/A
• P = 539/7 × 10000
• P = 5390000/7
• P = 770,000 Pascal

And if should would be on a 1 nail only,

• P = F/A
• P = 539/1 × 1000000
• P = 539000000 Pascal

As, you can notice yourself that the pressure will be so high with only 1 nail and because of this, nail will pass through jane's body.