physics

posted by .

How much would the rope stretch to break the climber's fall if he free falls 2m before the rope runs out of slack? k=1.40x10^4N//m
mass of man= 90 kg
I forgot how to use conservation of energy for this. I tried it, but I did it wrong.

  • physics -

    x = 1/2*g*t^2 = 2 = 4.9*t^2

    Solve for t, the time then solve for the climber's speed v using

    v = 9.8*t

    1/2*m*v^2 = 1/2*k*xstretch^2; where xstretch is the amount that the rope will stretch

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A gymnast of mass 61.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. How do I calculate the tension T in the rope if the gymnast hangs motionless …
  2. physics

    Two rock climbers, Bill and Karen, use safety ropes of similar length. Karen's rope is more elastic, called a dynamic rope by climbers. Bill has a static rope, not recommended for safety purposes in pro climbing. Karen falls freely …
  3. physics

    . A rescue helicopter lifts a stretcher case off a hillside. The injured climber and stretcher have a mass of 180 kg and the rope supporting them has a breaking force of 2000 N. Calculate: (a) the tension in the rope when the stretcher …
  4. PHYSICS!!!

    A climber with a mass of 75 kg is attached to a 6.5 m rope with a cross sectional area of 3.5×10−4 m2. When the climber hangs from the rope, it stretches 3.4×10−3 m. What is the Young's modulus of the rope?
  5. physics

    A 82.5-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.82 x 103 N/m. He accidentally slips and falls freely for 0.739 …
  6. PHYSICS

    How much would the rope stretch to break the climber's fall if he free falls 2m before the rope runs out of slack?
  7. Physics

    A 74.2-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.62 x 103 N/m. He accidentally slips and falls freely for 0.959 …
  8. physics

    the length of nylon rope from which a mountain climber is suspended has a force constant of 1.40*10^4. how much would this rope stretch to break the climbers fall if he freefall 2.00 m before the rope run out of slack
  9. physics

    A 56-kg student runs at 4.2 m/s , grabs a hanging 10.0-m-long rope, and swings out over a lake (Figure 1) . He releases the rope when his velocity is zero. What is the angle θ when he releases the rope?
  10. Physics

    A 56kg student runs at 5m/s, grabs a hanging rope, swings out over a lake. He releases the rope when his velocity is zero. The angl when he releases the rope is 29.25degrees. What is the tension in the rope just before he releases …

More Similar Questions