Physics

posted by .

A person of mass 50.0 kg is at the bottom of a cave. The cave has a depth of 32.5 meters and the person is to be pulled out of the cave vertically by a rope, starting from rest. What is the shortest amount of time that this could take if the rope can withstand a maximum tension of 550.0 N without breaking?

  • Physics -

    I think this is how you tackle this problem:

    Fnet=T-Fg

    Where

    T=550.N
    Fg=m*g
    Fnet=m*a
    m=50.0kg
    g=9.8m/s^2
    and
    a=?

    Solve for a:

    m*a=550.0N-m*g

    50.0kg*a=550.0N-(50.0kg*9.8m/s^2)

    55.0kg*a=550.0N-490N

    55.0kg*a=60N

    a=60N/55.0kg

    a=1.091m/s^2

    You know acceleration, so solve for time (t) using the following kinematic equation:

    d=Vit+1/2at^2

    where

    d=32.5m
    Vi=0m/s^2
    a=1.091m/s^2
    t=?

    Solve for t:

    32.5=0+1/2(1.091m/s^2)t^2

    t=sqrt*(65m/1.091m/s^2)

    t=7.72s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A bat flying in a cave sends out a sound wave to navigate. If the cave temperature is 10.8 C, and the sound the bats sends out takes 0.0679 s to echo back, how far away is the cave wall
  2. algebra

    Diving. An underwater exploration team is swimming at a depth of -20 feet. Then they drive to an underwater cave that is at 7 times this depth. What is the depth of the underwater cave?
  3. Physics

    A bat flying in a cave emits a sound and receives its echo 0.1 s later. Show that its distance from the cave wall is 19m.
  4. physics

    A plane flying horizontally at a constant velocity drops a bomb on a cave from a height of 500 m. At the moment the bomb hits the ground, the plane is A.) 250 meters beyond the cave B.) Directly over the cave C.) 250 meters from the …
  5. Physics

    You are standing at the top of a deep, vertical cave and want to determine the depth of the cave. Unfortunately, all you have is a rock and a stopwatch. You drop the rock into the cave and measure the time that passes until you hear …
  6. physics

    A bat flying in a cave emits a sound and receives its echo 0.1 s later. Show that the distance to the wall of the cave is 17 m.
  7. Physics

    A bat flying in a cave emits a sound and receives its echo 0.1 s later. Show that it's distance from the cave wall is 19 m.
  8. physics

    A person whose weight is 507 N is being pulled up vertically by a rope from the bottom of a cave that is 30.1 m deep. The maximum tension that the rope can withstand without breaking is 590 N. What is the shortest time, starting from …
  9. Math

    The elevation of an underwater cave is -120 feet relative to sea level. A submarine descends to the cave. The submarine’s rate of change in elevation is no greater than -12 feet per second. How long will it take to reach the cave?
  10. Math

    An explorer descends to the deepest part of a cave. Then she ascends 25 feet per minute. After 3 minutes, she is at -195 feet. What is the depth of the cave?

More Similar Questions