A \(0.050-\mathrm{kg}\) egg falls off a table that is \(1.0 \mathrm{~m}\) high and lands on a tile floor.

(a) What is the impulse delivered to the egg by the floor?

(b) The egg lands on its side, and at the instant of impact the part of the shell farthest from the floor is \(40 \mathrm{~mm}\) above the floor. The collision continues until the center of mass is on the floor. Estimate the time interval over which the collision lasts.

(c) What is the average force exerted by the floor on the egg?

(d) If the floor were carpeted, the collision time interval might be extended by as much as a factor of four as the carpet "gives" under the egg. What would the average force exerted on the egg be then?