Calculating the Velocity at the bottom of a Pendulums Trajectory.

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SUMMARY

The discussion focuses on calculating the velocity of a pendulum at the bottom of its trajectory using conservation of energy principles. Given a mass of 2.0 kg, a height of 0.2 m, and gravitational acceleration of 9.8 m/s², the potential energy (PE) is converted entirely into kinetic energy (KE) at the lowest point. The relevant equation is PE = mgh, which leads to the conclusion that the velocity can be determined by equating potential energy to kinetic energy.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Knowledge of kinetic energy (KE = 0.5 * m * v²)
  • Familiarity with the principle of conservation of energy
  • Basic physics concepts related to pendulum motion
NEXT STEPS
  • Calculate kinetic energy using KE = 0.5 * m * v²
  • Explore the derivation of velocity from potential energy equations
  • Investigate the effects of varying mass and height on pendulum velocity
  • Learn about tangential forces in pendulum motion
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding pendulum dynamics and energy conservation principles.

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Homework Statement


I am trying to calculate the velocity of the pendulum at the bottom of the trajectory.
Mass of the ball - 2.0 kg
Height - .2 m
G - 9.8 m/s^2


Homework Equations


PE = mgh
He mentioned something about the tangential force, I'm really not sure what I should be doing.

The Attempt at a Solution

 
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You should be using conservation of energy. Your gravitational potential will be entirely kinetic energy at the bottom of the trajectory.
 

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