2. Illinois Jones is being pulled from a snake pit with a rope that breaks if the tension in it exceeds 755N. (a) If Illinois Jones has a mass of 73.0kg and the snake pit is 3.40m deep, what is the minimum time necessary to pull our intrepid explorer from the pit?

Question

2. Illinois Jones is being pulled from a snake pit with a rope that breaks if the tension in it exceeds 755N.  (a) If Illinois Jones has a mass of 73.0kg and the snake pit is 3.40m deep, what is the minimum time necessary to pull our intrepid explorer from the pit?

ranya99 · Answer

@IrishBoy123 
@ospreytriple

irishboy123 · Answer

well, set the force to 755N and go.....!

|dw:1450817322442:dw|

$755 - W = ma$

the more he accelerates, the quicker he gets out.

ranya99 · Answer

And he has a mass of 73.0kg

ranya99 · Answer

What about W?

ranya99 · Answer

mg = 73 x 9.8 = 715.4N 

break point = 755 N 

755 = m x (g + a) 

755/m = (g + a) 

755/73 = 10.342

ranya99 · Answer

10.342 - g = a = 0.542 m/s^2 

3.40/(0.5 x 0.542) = t^2 =12.55 , sq-root = t = 3.5 secs

ranya99 · Answer

@IrishBoy123 
Is my work correct?

irishboy123 · Answer

http://www.wolframalpha.com/input/?i=sqrt%7B2*9.8*+%28755-%2873%29%289.8%29%29%2F73%7D

irishboy123 · Answer

@Ranya99 

hope that worked!!