calculus

posted by .

find the work done in winding up a 175 ft cable that weighs 4.00 lb/ft?

  • calculus -

    Assuming the whole cable is just hanging there, the work required to raise it up is

    ∫(175-x)(4dx)[0,175]
    = 4(175x - .5x^2)[0,175]
    = 700x - 2x^2[0,175]
    = [700*175 - 2*175^2] - [0-0]
    = 61250

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A cable weighing 2 lb/ft is 16 ft long. If a 20-lb weight is attached to the end, find the work done in winding up the chain.
  2. Repost-Physics 1

    Two railroad cars, each of mass 2.2 104 kg, are connected by a cable to each other, and the car in front is connected by a cable to the engine as shown in the figure below. The cars start from rest and accelerate to a speed of 1.7 …
  3. Calculus

    A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x)=10+(0.4)(x^1.5). …
  4. Calculus II

    A cable that weighs 1.5 lb/ft is used to lift 700 lb of coal up a mineshaft that is 400 ft deep. Find the work done.
  5. Calculus

    A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
  6. Calculus

    A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
  7. Integral calculus

    find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
  8. Integral calculus

    find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
  9. calculus

    A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x) = 10+(0.1)*(x^1.5). …
  10. calculus

    A cable that weighs 6 lb/ft is used to lift 750 lb of coal up a mine shaft 500 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum.

More Similar Questions