Final answer:
To exert a pressure of 0.067 N/mm² with a ballpoint pen on paper, with an area of contact of 1.2 mm², you must apply a force of 0.0804 newtons.
Step-by-step explanation:
To calculate the force you must exert on a ballpoint pen to apply a pressure of 0.067 N/mm² on a piece of paper, you can use the formula for pressure, which is P = F/A. Here, P is the pressure, F is the force, and A is the area of contact. The area of contact provided is 1.2 mm². Using the given pressure and area, we can solve for the force as follows:
F = P × A = 0.067 N/mm² × 1.2 mm² = 0.0804 N.
Therefore, you need to exert a force of 0.0804 newtons on the ballpoint pen to achieve the specified pressure on the paper.