Question

Mr. Rosario has created a catapult so that he can fling any of his misbehaving students out of his classroom. He finally tests out this catapult and his student gets flung a total of 500 meters straight up into the air! It the student weighed 77 kg and the band he used for the catapult was pulled back 3 meters, what is the rubber bands k constant?

Answer 1

For this we are going to neglect the losses

`\begin{gathered} 77kg\cdot(9.81m)/(s^2)\cdot500m=(1)/(2)k\cdot(3m)^2 \\ 77¨9.81\cdot500\cdot(2)/(9)=(83930N)/(m) \end{gathered}`