Chapter 8, Problem 62A

A 1-kg ostrich egg is thrown at 2 m/s at a bed sheet and is brought to rest in 0.2 s. Show that the average amount of force on the egg is 10 N.

To determine

To Show: The average amount of force on egg is 10N.

Explanation of Solution

Given:

Mass of ostrich egg, $m=1\text{kg}$

Change in velocity of egg, $\Delta v=2\text{m/s}$

Time elapsed, $\Delta t=0.2\text{s}$

Formula used:

Impulse =change in momentum

$F\Delta t=\Delta p=m\Delta v$

Here, F is the force and $\Delta t$ is the change in time, m is the mass and $\Delta v$ is the change in velocity.

Calculation:

  $\begin{array}{l}F\Delta t=m\Delta v\\ F=\frac{m\Delta v}{\Delta t}\\ =\frac{1\times 2}{0.2\mathrm{s}}\\ =10\text{N}\end{array}$

Conclusion:

Thus, the average force is $10\text{N}$ .