Nail tips exert tremendous pressures when they are hit by hammers because they exert a large force over a small area. What force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure of 3.00*109Nm2?

236 N.

Explanation:

Pressure = Force/Area

P = F/A

F = P*A ... Equation 1

Where P = pressure, A = Area of the surface in contact, F = Force exerted on the nail.

A = πd²/4 ... Equation 2

Where d = diameter, π = pie

Given: d = 1.00 mm = 0.001 m, π = 3.14

Substitute into equation 2

A = (0.001) ²3.14/4

A = 7.85*10⁻⁷ m²

Also, P = 3.00*10⁹ N/m²

Substitute these values into equation 1

F = (3.00*10⁹) (7.85*10⁻⁷)

F = 2.36*10²

F = 236 N.

Hence the force exerted = 236 N.