Question

(c) 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 × 10 9 N/m 2 ? First calculate the area of the circular tip, express it in 10 -6 m2. For example, if the area is 0.0000068 = 6.8 × 10-6 m2, enter just 6.8.

Answer 1

Answer:

Force, F = 2356.19 N

Explanation:

Given that,

Diameter of the circular tip, d = 1 mm = 0.001 m

Its radius, r = 0.0005 m

Pressure created, $P=3\times 10^9\ N/m^2$

To find,

Force exerted on the nail.

Solution,

The pressure exerted by an object is equal to the force acting per unit area. Its formula is given by :

$P=\dfrac{F}{A}$

$F=P\times A$

$F=3\times 10^9\ N/m^2\times \pi (0.0005\ m)^2$

F = 2356.19 N

Therefore, the force exerted on the nail is 2356.19 N.