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23 Nov 2019

A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a force FA, as part a of the drawing shows. By itself, however, force FA is insufficient. Therefore, two additional forces FB and FC are applied, as in part b of the drawing. Each of these additional forces has the same magnitude F. The magnitude of the resultant force acting on the elephant in part b of the drawing is k times larger than that in part a. Find the ratio F/FA when k = 1.94.

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Irving Heathcote
Irving HeathcoteLv2
23 Nov 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

  • If your car is stuck in the mud and you donҀ™t have a winch to pull it out, you can use a piece of rope and a tree to do the trick. First, you tie one end of the rope to your car and the other to a tree, then pull as hard as you can on the middle of the rope, as shown in the figure. This technique applies a force to the car much larger than the force that you can apply directly. To see why the car experiences such a large force, look at the forces acting on the center point of the rope, as shown in the figure. The sum of the forces is zero, thus the tension is much greater than the force you apply. It is this tension force that acts on the car and, with luck, pulls it free.

    1.) The sum of the three forces acting on the center point of the rope is assumed to be zero because
    a.) this point has a very small mass
    b.) tension forces in a rope always cancel
    c.) this point is not accelerating
    d.) the angle of deflection is very small.

    2.) when you are pulling on the rope what is the approximate direction of the tension force on the tree?
    a.) north b.) south c.) east d.) west

    3.) assume that you are pulling on the rope but the car is not moving. what is the approximate direction of the force of the mud on the car?
    a.) north b.) south c.) east d.) west

    4.) suppose your efforts work, and the car begins to move forward out of the mud. As it does so, the force of the car on the rope is
    a.) zero
    b.) less than the force of the rope on the car
    c.) equal to the force of the rope on the car
    d.) greater than the force of the rope on the car.

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