How Does Vine Tension Affect Jill's Swing Dynamics?

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In summary, the problem involves Jill of the jungle swinging on a vine 6.9 m long with no friction. The task is to determine the tension in the vine when Jill, with a mass of 65 kg, is moving at 2.4 m/s while the vine is vertical. Additionally, a free body diagram needs to be drawn. Assuming Jill releases the vine when it is vertical and lands on the ground 2.5 seconds later, the question asks for her vertical speed at that point. Theoretical equations can be used, such as T=ma, but it is important to note that 2.4 m/s is a velocity, not an acceleration. Therefore, the acceleration needs to be found first before solving for
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MaggieNF
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Homework Statement


Jill of the jungle swings on a vine 6.9 m long (assume no friction)

what is the tension in the vine if jill, whose mass is 65 kg, is moving at 2.4m/s when the vine is vertical? Draw a free body diagram

Assume Jill stops holding on at exactly the moment the vine is vertical and lands on the ground exactly 2.5 seconds later. What is her vertical speed when reaching the ground?

How does the tension in the vine change if her mass is doubled? How does this effect her velocity when reaching the ground? explain

Homework Equations





The Attempt at a Solution



was thinking you could use T=ma.. thus 65* 2.4 =154 N
 
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Welcome to PF!

Hi MaggieNF! Welcome to PF! :wink:
MaggieNF said:
what is the tension in the vine if jill, whose mass is 65 kg, is moving at 2.4m/s when the vine is vertical? Draw a free body diagram
…
I was thinking you could use T=ma.. thus 65* 2.4 =154 N

but 2.4 is v, not a :redface:

you need to find the https://www.physicsforums.com/library.php?do=view_item&itemid=27" :smile:
 
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FAQ: How Does Vine Tension Affect Jill's Swing Dynamics?

What is tension in a vine?

Tension in a vine refers to the force applied on the vine, causing it to stretch and become taut. This force is typically exerted by the weight of the vine itself or by external factors such as wind or the weight of fruits.

Why is tension important for vines?

Tension is important for vines because it helps them to grow and support themselves. Without tension, vines would fall to the ground and would not be able to reach sunlight for photosynthesis.

How does tension affect the growth of a vine?

Tension plays a crucial role in the growth of a vine. It helps to stimulate cell elongation and growth, allowing the vine to reach its full potential. Tension also helps to strengthen the vine and make it more resistant to environmental stressors.

How can tension be measured in a vine?

Tension in a vine can be measured using a variety of techniques such as strain gauges, force transducers, or by simply observing the amount of sag in the vine. These methods can provide quantitative data on the amount of tension present in a vine.

What are some common factors that can increase tension in a vine?

External factors such as wind, heavy fruit load, or the weight of a trellis system can increase tension in a vine. Additionally, water stress or improper pruning techniques can also contribute to increased tension in a vine.

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