Question

An 18.0-gram arrow is shot from a compound bow. It travels the 0.980 m length of the bow with an average force of 125 N. The arrow enters a foam target. Embedding itself 11.2 cm into the target. What is the average force on the arrow by the foam target.

Answer 1

Here ,

let the average force on the arrow by the foam target is F1

Now, as the initial and final kinetic energy is zero

Using work energy theorem

change in kinetic energy = total work done

0 - 0 = 125 * 0.980 - 0.112 * F1

solving for F1

F1 = 1094 N

the average force on the arrow by the target is 1094 N