The Physics of Friction: A Reflective Perspective

How is the coefficient of static friction calculated in a physics laboratory scenario?

Given the data provided, what principles of classical physics are involved in determining the coefficient of static friction?

Calculation and Explanation

The coefficient of static friction between the backpack and the table is 0.072. This calculation involves understanding principles of static friction and Hooke's Law.

When analyzing the scenario of a backpack resting on a table in a physics laboratory, the coefficient of static friction plays a crucial role in determining the interaction between the backpack and the table surface.

Understanding the principles of static friction is essential in this context. Static friction is the force that prevents two surfaces from sliding against each other when an external force is applied. The magnitude of static friction force is determined by the coefficient of static friction (μ) and the normal force (N) acting between the surfaces.

In this particular scenario, the spring with a force constant of 160N/m is attached to the backpack and pulled horizontally. When the spring stretches by 2.70cm, the backpack begins to slide on the table. At this point, the force exerted by the spring equals the static frictional force.

To calculate the coefficient of static friction, an equation based on static friction formula (F = μN) is set up. The weight of the backpack provides the normal force, and the spring force (F = kx) is calculated to be 4.32N in this case. The equation then becomes: μ x 60.0N = 4.32N. Solving for μ gives μ = 0.072.

Therefore, the coefficient of static friction between the backpack and the table is 0.072 in this physics laboratory scenario. By applying the principles of static friction and Hooke's Law, the relationship between forces and motion in the system can be better understood and analyzed.