What is dry ice behavior when acted on by a steady push that keeps up with the block and when it is a given a quick shove.

Dry ice, which is solid carbon dioxide, exhibits different behaviors when acted upon by a steady push versus a quick shove. Let's explore the effects of these actions and how to understand them.

1. Steady push: When a steady push is applied to dry ice, it doesn't immediately cause significant movement or acceleration. Dry ice generally has a low coefficient of friction, so it may resist sliding. However, as the push continues, the dry ice may gradually start moving in the direction of the force applied.

To understand this behavior, you need to consider the concept of static and kinetic friction. Static friction is the force that binds an object at rest to a surface, making it resistant to being set in motion. Once the applied force overcomes the static friction, the object transitions to kinetic friction, which allows for relative motion between the object and the surface. That's why a steady push may progressively overcome static friction, resulting in the dry ice moving.

2. Quick shove: When a quick, sudden force or shove is applied to dry ice, it can cause the dry ice to slide or move rapidly. Unlike a steady push, a quick shove provides a sudden burst of energy, which can instantly overcome static friction. Consequently, the dry ice may respond by experiencing rapid acceleration in the direction of the force applied.

To understand this behavior, you can look at Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of a quick shove, the force applied is relatively large compared to the mass of dry ice, resulting in significant acceleration.

In summary, dry ice behaves differently when subjected to a steady push compared to a quick shove. A steady push gradually overcomes static friction, causing the dry ice to move, while a quick shove provides a sudden burst of energy that overcomes static friction instantly, leading to rapid acceleration.