What is the angle at which the vine breaks in Tarzan's swinging problem?

In summary, Tarzan, who weighs 688 N, swings from a cliff using a vine that is 23.0 m long. He descends by 3.2 m during the swing. Part A asks for the maximum tension in the vine, which is found to be 879 N using the equations F=ma=mv^2/r=T-mg and KEi+PEi=KEf+PEf. Part B states that the vine will break if the force on it exceeds 844.2 N. Since 879 N is greater than 844.2 N, the vine will break. To solve for the angle at which the vine will break, one must use energy conservation and an understanding of an example from
  • #1
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Homework Statement


Tarzan, who weighs 688 N, swings from a cliff at the end of a convenient vine that is 23.0 m long . From the top of the cliff to the bottom of the swing, he descends by 3.2 m. A) If the vine doesn't break, what is the maximum of the tension in the vine? B) The vine will break if the force on it exceeds 844.2 N. Does the vine break? If yes, at what angle does it break (if no enter 180. deg)?
(I already figured out part A)

Homework Equations


F=ma=mv^2/r=T-mg
and KEi+PEi=KEf+PEf

The Attempt at a Solution


Okay, so I figured out part A, and got an answer of 879 N, which is correct according to the online homework system. So, for part B, 879 N > 844.2 N, so the vine WILL break. I have no idea how to solve for the angle. Please help!

Also, sorry I spelled problem wrong in the title. Didn't notice it until I already posted it.
 
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  • #2
Study the example from University Physics, 5th edition, page 102, attached.

You should be able to determine the velocity for any position using energy conservation. With that knowledge and an understanding of the example above you should be able to solve the problem.

Good luck!
 

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FAQ: What is the angle at which the vine breaks in Tarzan's swinging problem?

What is the "Conservation of Energy Problem"?

The Conservation of Energy Problem is a fundamental concept in physics that states energy cannot be created or destroyed, but only transformed from one form to another.

How is the Conservation of Energy Problem applied in real-world situations?

The Conservation of Energy Problem can be seen in various real-world situations, such as in the production of electricity through the transformation of energy from coal or wind power, or in the movement of objects on Earth due to the conversion of potential energy to kinetic energy.

What are the implications of not following the Conservation of Energy Problem?

If the Conservation of Energy Problem is not followed, there can be negative consequences such as an increase in pollution and depletion of natural resources. It can also lead to inaccurate scientific theories and models.

How do scientists test the Conservation of Energy Problem?

Scientists test the Conservation of Energy Problem through experiments and observations, using tools such as energy meters and equations to measure and track the transformation of energy in a system. They also rely on the principle of falsifiability to ensure the accuracy and validity of their findings.

What are some common misconceptions about the Conservation of Energy Problem?

Some common misconceptions about the Conservation of Energy Problem include the idea that energy can be created or destroyed, and that perpetual motion machines are possible. However, these ideas go against the fundamental principles of the Conservation of Energy and have been disproven by scientific research.

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