physics

posted by .

As part of a fundraiser, you want the new dean to bungee jump from a crane. The jump will be made from 44 m above a 2.5 m deep pool of Jello. A 30 m long bungee cord would be attached to the dean's ankle. You must convince the dean that your plan is safe for a person of his mass, 70 kg. As the bungee cord stretches, it will exert a force with the same properties as the force exerted by a spring. Your plan has the dean stepping off a platform and being in free fall for the 30 m before the cord begins to stretch. You must determine the elastic constant of the bungee cord so that it stretches only 12 m, which will keep the dean's head just out of the Jello.

(a) What is the algebraic expression for the spring constant of the bungee cord in terms of the unstretched length of the cord (L), the height of the jump above the pool (H), the amount the cord stretches (S), the mass of the dean (M), and the gravitational field strength (g)? [Note: Don't enter an equation like "x=blah". Just enter the "blah" part. All letters are capital except for "g".]


(b) What is the numerical value of the spring constant (make sure to include units and put a space between the number and the units)?

  • physics -

    vdf

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics - Applications of Momentum

    Use the concept of impulse to explain the difference in the results of a jump using a proper bungee cord and a jump using ordinary rope. (Ans: Is it that impulse is equal to mVf - mVi and the final velocity will be zero for the ordinary …
  2. Physics - bungee jumping

    In a head dip bungee jump from abridge over a river, the bungee cord is fastened to the jumpers ankles. The jumper then steps off and falls towards the river until the cord becomes taut. At that point, the cord begins to slow the jumper's …
  3. Physics- bungee jump

    A tall bald student (height 2.1 meters and mass 91.0 kg) decides to bungee jump off a bridge 36.7 meters above the river. The bungee cord is 25.3 meters long as measured from the attachment at the bridge to the foot of the jumper. …
  4. physics

    A 300 lb bungee jumper wants to jump from the top of a 230 ft high bridge and be able to just touch the water below (Part A figure) . Given that the bungee cord has a spring constant of 11.1 lb/ft, what should the bungee cord's relaxed …
  5. physics

    The hero pursues the villain up to the top of a bungee jumping apparatus. The villain appears trapped but to create a diversion she drops a bottle. The hero quickly straps on the bungee cord to his leg and dives straight down to grab …
  6. physics ! HELP !

    A 65 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 11m long when unstretched, and falls a total of 30m . Part a) Calculate the spring constant of the bungee cord assuming Hooke's law applies. part b)Calculate …
  7. physics- please help

    A 65 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 11m long when unstretched, and falls a total of 30m . Part a) Calculate the spring constant of the bungee cord assuming Hooke's law applies. part b)Calculate …
  8. Physics

    A bungee jumper (m = 66.00 kg) tied to a 39.00 m cord, leaps off a 69.00 m tall bridge. He falls to 5.00 m above the water before the bungee cord pulls him back up. What size impulse is exerted on the bungee jumper while the cord stretches?
  9. physics

    A bungee jumper of mass 75 kg uses a bungee cord with a relaxedlength of 50 m and jumps from a bridge that is 170 m above the ground. What elastic force constant is necessary for the bungee cord in order for him to jump safely. I have …
  10. college physics 1

    As part of a fundraiser, the Chancellor has agreed to bungee jump from a crane 45 m above a pool filled with Jello. The plan is for the bungee cord to stop the Chancellor just before his head enters the Jello. Your task is to select …

More Similar Questions