How to Find a Gymnast's Speed at the Bottom of a Swing?

  • Thread starter Thread starter djherse
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating a gymnast's speed at the bottom of a swing using the principle of conservation of mechanical energy. The gymnast's initial height is 1.0 m above the bottom of the swing, where his speed is momentarily zero. By applying the conservation of energy equation, the potential energy at the top (mgh) converts entirely into kinetic energy (0.5mv²) at the bottom, allowing for the calculation of speed without needing the mass of the gymnast. The key takeaway is that mass cancels out in the energy equation, simplifying the calculation.

PREREQUISITES
  • Understanding of conservation of mechanical energy
  • Basic algebra skills for manipulating equations
  • Familiarity with gravitational potential energy (mgh)
  • Knowledge of kinetic energy formula (0.5mv²)
NEXT STEPS
  • Study the conservation of mechanical energy in detail
  • Learn how to derive equations for potential and kinetic energy
  • Practice solving problems involving energy conservation in physics
  • Explore the effects of friction on mechanical energy systems
USEFUL FOR

This discussion is beneficial for physics students, educators exploring teaching methodologies, and anyone interested in understanding energy conservation principles in mechanics.

djherse
Messages
10
Reaction score
0
Another Fine Gymnist problem ...

A gymnist is swinging on a high bar. The distance between his waist and the bar is 1.0 m, as the drawing shows.


At the top of the swing his speed is momentarily zero. ignoring friction and treating the gymnist as if all his mass is located at his waist, find his speed at the bottom of the swing.

I know it must have something to do with The conservation of mechanical energy however I am not sure how to set up both sides of the equation ? my algebra is a little ruff... I an lost here i know some stuff must cancell out but what ? it all can't cancell out Mass must cancell because it is not given to you but what else?
 
Physics news on Phys.org
bump...

On a side note my class is part of a physicis without lectures trial at me school we are the second class to be subjected to this new teaching style and it is horiable. We have Zero lectures and are told to determine equations on our own... the teacher will only answer questions we have. Our entire 3 hour class is spent working in a poorly written workbook...
 
djherse said:
A gymnist is swinging on a high bar. The distance between his waist and the bar is 1.0 m, as the drawing shows.


At the top of the swing his speed is momentarily zero. ignoring friction and treating the gymnist as if all his mass is located at his waist, find his speed at the bottom of the swing.

I know it must have something to do with The conservation of mechanical energy however I am not sure how to set up both sides of the equation ? my algebra is a little ruff... I an lost here i know some stuff must cancell out but what ? it all can't cancell out Mass must cancell because it is not given to you but what else?
What does the drawing show as his start point at the top of the swing, relative to the bottom of the swing? His speed at the bottom depends on how high up he starts.
 

Similar threads

Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
1
Views
2K
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
5K