Question

An arrow of mass 0.0306 kilograms is placed on a bow, and the string is drawn back 0.591 meters with an average force of 141 newtons.What work is done on the bow? Include units in your answer. Answer must be in 3 significant digits.

Answer 1

The work done by a force on an object is found by multiplying the magnitude of the force and the displacement of the object during the action of that force, if both the force and the displacement are parallel.

The equation that relates the amount of work W with the applied force F and the displacement d is:

`W=F\cdot d`

Replace F=141N and d=0.591m to find the work done on the bow:

`W=(141N)(0.591m)=83.331J`

To 3 significant digits, the work done on the bow is 83.3 joules.