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Many magicians and entertainers use a "B...

Many magicians and entertainers use a "Bed of Nails' to trick their spectators. The bed of nails is made of a large wooden base on which a large number of nails are fixed, with their pointed ends pointing outwards. Magicians and entertainers lie down on the bed and sur prise spectators by the fact that the nails do not hurt them. Let us find out why this hap pens by calculating the pressure exerted by a person lying on these nails. A person weighing 70 kgf (where 1 kgf = 9.8 N) is lying on a bed of nails made of a 1000 nails. If the surface area of 1 nail is `0.001m^(2)`, calculate:
(a) The pressure that would be exerted by one nail on the body of the person.
(b) The pressure exerted by 1000 nails on the body of the person.

Text Solution

AI Generated Solution

To solve the problem of calculating the pressure exerted by a person lying on a bed of nails, we will follow these steps: ### Step 1: Calculate the Force Exerted by the Person The weight of the person is given as 70 kgf. We need to convert this weight into Newtons (N) using the conversion factor where 1 kgf = 9.8 N. \[ \text{Force (F)} = \text{Weight} \times \text{Conversion Factor} = 70 \, \text{kgf} \times 9.8 \, \text{N/kgf} = 686 \, \text{N} \] ...
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