The coefficient of friction depends only on the two surfaces. Hence it won't change if Weight is doubled. On the other hand, force of friction will become double if the weight is doubled as now the normal reaction force will be doubled.

The Relationship Between Weight and Coefficient of Friction

When the weight of a body is doubled, it has a direct effect on the coefficient of friction. The coefficient of friction is a measure of the resistance between two surfaces in contact when one body slides or attempts to slide over another. There are two types of friction: static friction and kinetic friction. Static friction occurs when there is no relative motion between the surfaces, while kinetic friction occurs when one surface is sliding or moving over another.

Explanation:

1. Coefficient of Friction
The coefficient of friction (μ) is a dimensionless value that represents the ratio of the force of friction between two surfaces to the force pressing them together. It can be influenced by various factors, including the nature of the surfaces in contact, their roughness, and the presence of any lubricants.

2. Relationship Between Weight and Friction
The weight of an object is the force exerted on it due to gravity. The greater the weight of an object, the stronger the force pressing it against the surface it rests upon. This increased force affects the interaction between the object and the surface, resulting in changes in the coefficient of friction.

3. Static Friction
When an object is at rest on a surface, static friction comes into play. The static friction force opposes the applied force that is trying to set the object in motion. It is generally greater than the kinetic friction force.

4. Effect of Weight on Static Friction
When the weight of a body is doubled, the force pressing the object against the surface also doubles. As a result, the maximum static friction force increases proportionally to the weight. This is because the surface is now subjected to a stronger force, requiring a higher opposing force to prevent the object from moving.

5. Kinetic Friction
Once the applied force overcomes the static friction, the object starts moving, and kinetic friction comes into play. Kinetic friction is generally less than static friction.

6. Effect of Weight on Kinetic Friction
The weight of the body has no direct effect on the coefficient of kinetic friction. Once the object is in motion, the coefficient of kinetic friction remains relatively constant as long as the surfaces in contact and other factors remain unchanged.

Summary

In summary, when the weight of a body is doubled, the maximum static friction force also doubles due to the increased force pressing the object against the surface. However, the weight of the body does not directly affect the coefficient of kinetic friction. Understanding the relationship between weight and the coefficient of friction is important in various fields such as engineering, physics, and everyday situations where friction plays a significant role.