1. You have a glass with mass m bouncing off the floor. Its duration of contact

with the floor the time difference between first touching the floor and last touching the floor-

is T. Its velocity when it first touches the floor is Viy, and its velocity as it launches off the

floor is ufy. If, at any time during its contact with the floor, the force on the glass ever exceeds

Fmax, even for the tiniest fraction of a second, the glass will break. Note that the force on the

glass during its collision with the floor will not be constant, and you have no idea what the

exact force graph looks like.

(a) Write down an inequality describing the condition under which it is certain that the glass

will break. Hint: Sketching an F vs. t graph might help you think about this.

(b) Let's say the inequality you wrote down does not hold. Does this mean that the glass is

certain to remain unbroken? Explain.