The average force exerted on the egg is smaller for a soft container
Explanation:
When the egg falls down and reaches the ground, its change in momentum is given by

where
m is the mass of the egg
is the change in velocity
According to the impulse theorem, the change in momentum is equal to the impulse exerted by the floor on the egg:

where
F is the average force exerted on the egg
is the duration of the collision
The equation can be rewritten as

A soft container is able to increase the duration of the collision,
, compared to a hard container. Since the change in momentum of the egg,
, is the same (we assume the same initial conditions), this means that the ratio
is smaller for a soft container, and therefore the average force exerted on the egg is also smaller.
Learn more about impulse:
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