Question

a moderate force will break an egg. however, an egg dropped on the road usually breaks, while one dropped on the grass usually doesnt break. this is because for the egg dropped on the grass:
select one:
o a. the change in momentum is less.
o b. the change in momentum is greater
o c. the time interval for stopping is less.
o d. the time interval for stopping is greater.

Explanation:

According to the impulse - momentum theorem \(J = \Delta p\), where \(J = F\Delta t\) (impulse \(J\) is the product of force \(F\) and time interval \(\Delta t\)) and \(\Delta p\) is the change in momentum. When an egg is dropped, the initial and final velocities (and thus the change in momentum \(\Delta p\)) are approximately the same whether it is dropped on the road or on the grass. However, the grass is softer and can extend the time interval \(\Delta t\) for the egg to stop. Since \(F=\frac{\Delta p}{\Delta t}\) (from \(J = F\Delta t=\Delta p\)), a larger \(\Delta t\) (time interval for stopping) results in a smaller force \(F\). A smaller force is less likely to break the egg.

Answer:

d. the time interval for stopping is greater.