A person is trying to judge whether a picture (mass = 1.64 kg) is properly positioned by temporarily pressing it against a wall. The pressing force is perpendicular to the wall. The coefficient of static friction between the picture and the wall is 0.700. What is the minimum amount of pressing force that must be used?
To find the minimum amount of pressing force required to keep the picture in place, we need to consider the maximum force of static friction that can act between the picture and the wall. The force of static friction can be calculated using the equation:
F(static friction) = coefficient of static friction * Normal force
The normal force is the force exerted by the wall on the picture and is equal to the weight of the picture. The weight can be calculated using the equation:
Weight = mass * gravitational acceleration
The gravitational acceleration is approximately 9.8 m/s² on Earth.
Here's how you can calculate the minimum amount of pressing force required:
Step 1: Calculate the weight of the picture.
Weight = mass * gravitational acceleration
Weight = 1.64 kg * 9.8 m/s²
Step 2: Calculate the maximum force of static friction.
F(static friction) = coefficient of static friction * Normal force
F(static friction) = 0.700 * Weight
Step 3: Determine the minimum amount of pressing force.
The minimum amount of pressing force required is equal to the maximum force of static friction.
Minimum pressing force = F(static friction)
By following these steps, you can calculate the minimum amount of pressing force needed to keep the picture in place against the wall.