158k views
2 votes
What force must you exert on a ball point pen in order to apply a pressure of0.067 N/mm2on a piece of paper, if the ball of the pen has a surface area of1.2 mm2touching the paper?

User Tamecka
by
3.2k points

2 Answers

11 votes

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.

User Cherrytree
by
3.6k points
3 votes

Answer:

The force that must be exerted on the pen is 0.0804 N.

Step-by-step explanation:

Given;

pressure applied on a piece of paper by ball point of the pen, P = 0.067 N/mm²

surface area of the pen ball point, A = 1.2 mm²

The force that must be exerted on the pen is calculated as;

F = P x A

F = (0.067 N/mm²) x (1.2 mm²)

F = 0.0804 N

Therefore, the force that must be exerted on the pen is 0.0804 N.

User Franciscod
by
3.4k points