If a finger exerts 150N/mm² and has an area of 200mm², what force must it apply?

To find the force exerted by the finger, you can use the formula that relates pressure, force, and area. The formula is:

[ \text{Force} = \text{Pressure} \times \text{Area} ]

In this scenario, the pressure is given as 150 N/mm² and the area is provided as 200 mm².

By substituting the values into the formula:

[ \text{Force} = 150 , \text{N/mm²} \times 200 , \text{mm²} ]

Now, perform the multiplication:

[ \text{Force} = 150 \times 200 = 30,000 , \text{N} ]

This calculation shows that the finger must apply a force of 30,000 N, confirming that the correct choice represents the force derived from these parameters. Understanding this relationship helps clarify how pressure and area work together to determine the total force exerted in a given situation.