While there is some natural variability between eggs, let us assume that an egg will break if the shell is subjected to a net force greater than $100$N applied evenly across its surface. $($A considerably smaller force will break the egg if applied over a small area; we will talk about pressure next semester$).$ You may further assume the force pushing up on the egg is constant over the entire time it is in contact with the ground. Under these conditions, what is the maximum acceleration the egg can experience without breaking?