How High Can Tarzan Swing After Jane Lets Go?

Click For Summary
SUMMARY

The discussion focuses on a physics problem involving Tarzan and Jane, whose combined mass is 140.0 kg, swinging on a 6.0 m vine at a 30.0° angle. The key principle applied is the conservation of energy, where the initial potential energy at the starting height is converted to kinetic energy at the bottom of the swing. After Jane releases the vine, Tarzan's maximum height can be calculated using the remaining energy. The solution requires understanding energy conservation principles and applying them to find the maximum height Tarzan can reach after Jane lets go.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Familiarity with gravitational potential energy and kinetic energy equations
  • Basic knowledge of trigonometry for angle calculations
  • Ability to manipulate algebraic expressions and symbols
NEXT STEPS
  • Study the conservation of mechanical energy in physics
  • Learn how to calculate gravitational potential energy (PE = mgh)
  • Explore the relationship between potential and kinetic energy
  • Practice solving similar physics problems involving pendulum motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding energy conservation in mechanical systems, particularly in the context of pendulum-like motions.

Pires
Messages
2
Reaction score
0
Tarzan and Jane, whose total mass is 140.0 kg, start their swing on a 6.0 m long vine when the vine is at an angle of 30.0° with the horizontal. At the bottom of the arc, Jane, whose mass is 50.0 kg, releases the vine. What is the maximum height at which Tarzan can land on a branch after his swing continues?

I have tried to get this problem but i just seem to be pausing because i can't find the right information/formula to proceed.
All help appreciated :smile:
 
Physics news on Phys.org
Energy is conserved. The energy of "Tarzan + Jane" at the starting point equals the energy they have at the bottom of the arc. When Jane let's go, Tarzan is left alone. But energy is still conserved. (You may find the problem easier than it looks. Try to do things with symbols; don't rush to plug in numbers.)
 

Similar threads

Swinging Tarzan: Solving for Maximum Height & Angle
  • · Replies 3 ·
Replies
3
Views
3K
Elastic Collision Homework: Tarzan & Jane Reach Max Height Together
  • · Replies 2 ·
Replies
2
Views
1K
Tarzan Physics Question with Kinematics, Energy, Forces
  • · Replies 1 ·
Replies
1
Views
4K
What Calculations Reveal Tarzan's Vine Tension at Point 3?
  • · Replies 2 ·
Replies
2
Views
2K
Tarzan and Jane(collision in one dimension problem)
  • · Replies 6 ·
Replies
6
Views
12K
Conservation of Mechanical Energy in rope swing
  • · Replies 1 ·
Replies
1
Views
10K
Centripedal force velocity question.
  • · Replies 3 ·
Replies
3
Views
2K
Maximum Tension in Vine for Tarzan and Jane Pendulum
  • · Replies 10 ·
Replies
10
Views
11K
How High Does Jane Swing on the Vine?
  • · Replies 2 ·
Replies
2
Views
4K
Question on Conservation of Energy
  • · Replies 4 ·
Replies
4
Views
4K