Jill of the Jungle swings on a vine 7.00 m long. (a) What is the tension in the vine if Jill, whose mass is 65.0 kg, is moving at 3.00 m/s when the vine is vertical? (b) If the maximum tension that the rope can support is 750 N, what is the maximum speed that you can have on the rope? The image depicts a silhouette of a person swinging from a rope. The person is shown to be in mid-air with one leg bent upward and the other leg straight, indicating they are in the act of swinging. The rope is anchored at a point above them. A key feature of the diagram is a dashed arc representing the path of the swing, describing a segment of a circle. The radius of this circle is denoted by the letter "R." Description of the Image:1. **Person Swinging**: - The silhouette of an individual can be seen holding onto a rope and presumably swinging in a forward motion with one foot lifted.2. **Rope and Swing Path**: - The rope is illustrated in a solid line, vertically attached at a point above the person. - The swinging path is indicated by a dashed arc, implying part of a circular trajectory.3. **Label "R"**: - The radius "R" is drawn from the point of attachment of the rope to the dashed arc, representing the radius of the circular path.Explanation: The image effectively demonstrates a simple pendulum in motion. Here, "R" serves as the radius of the pendulum's circular path, which is an essential parameter in physics for calculating the motion dynamics, including aspects like periodic time, angular velocity, and centripetal force.

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Answered: Jill of the Jungle swings on a vine…

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