IP You want to nail a 2.4kg- board onto the wall of a barn. To position the board before nailing, you push it against the wall with a horizontal force to keep it from sliding to the ground

What happens to the force of static friction if you push against the wall with a force greater than that found in part A? Will it
A)The force of static friction will increase.
B)The force of static friction will decrease.
C)The force of static friction will be the same.

and in partA i got 32 N

now i am confused because i thought the static friction would decrease. I plugged it back in to the problme and i got a lower number but that was wrong.

never minded i got it. it will remain the same

To understand what happens to the force of static friction when you push against the wall with a force greater than 32 N, let's review some concepts.

The force of static friction is the force that opposes the tendency of an object to slide or move when it is in contact with a surface. In this case, the board is in contact with the wall, and the force of static friction prevents it from sliding down.

When you push the board against the wall with a horizontal force, you are increasing the normal force acting on the board. The normal force is the force exerted by a surface perpendicular to an object in contact with it. It is equal in magnitude and opposite in direction to the force exerted by the object due to gravity.

In this scenario, the weight of the board is acting vertically downward with a force of (2.4 kg) × (9.8 m/s^2) = 23.52 N. The normal force exerted by the wall on the board is equal in magnitude and opposite in direction, so it is also 23.52 N.

The force of static friction is proportional to the normal force and depends on the type of surfaces in contact. It can be calculated using the equation:

Force of static friction = coefficient of static friction × normal force

Without the coefficient of static friction, it is not possible to determine the exact force of static friction. However, we can determine what happens to the force of static friction when you push against the wall with a force greater than 32 N.

If you push against the wall with a force greater than 32 N, the normal force acting on the board increases. Since the force of static friction is directly proportional to the normal force, the force of static friction will also increase.

Therefore, the correct answer to the question is: A) The force of static friction will increase.