Final answer:
Dropping a glass on a cement floor is more likely to break the glass than if it is dropped on a grass lawn due to the impulse involved in the collision. The cement floor applies a greater force on the glass due to its hardness, causing a larger impulse and increasing the likelihood of breaking. In contrast, the grass provides a longer duration of contact, reducing the force of impact and decreasing the impulse exerted on the glass.
Step-by-step explanation:
Dropping a glass on a cement floor is more likely to break the glass than if it is dropped from the same height on a grass lawn due to the impulse involved in the collision.
When the glass is dropped on the cement floor, the floor applies a greater force on the glass due to its hardness, resulting in a larger impulse. The larger impulse causes a greater change in momentum in the glass, which is more likely to break it.
In contrast, when the glass is dropped on the grass lawn, the grass provides a longer duration of contact, reducing the force of impact. This longer duration of contact decreases the impulse exerted on the glass, making it less likely to break.