Work-Kinetic Energy Theorem- Pendulum on a String

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SUMMARY

The discussion focuses on applying the Work-Kinetic Energy Theorem to a pendulum system involving a 7 kg ball attached to a massless string of length 3 meters, released from a horizontal position. The gravitational acceleration is constant at 10 m/s². The solution involves calculating the kinetic energy at the lowest point of the swing, where potential energy is converted into kinetic energy, leading to the determination of the ball's velocity and the tension in the string at that point.

PREREQUISITES
  • Understanding of the Work-Kinetic Energy Theorem
  • Knowledge of kinetic energy calculations (KE = 1/2 mv²)
  • Familiarity with potential energy concepts in gravitational fields
  • Basic principles of conservation of energy
NEXT STEPS
  • Calculate the potential energy at the starting height using PE = mgh
  • Determine the kinetic energy at the lowest point using KE = 1/2 mv²
  • Use the calculated kinetic energy to find the velocity of the ball
  • Calculate the tension in the string at the lowest point using T = mg + centripetal force
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators teaching the principles of energy conservation and pendulum motion.

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Homework Statement


A ball of mass m=7kg attached to a massless string of length R=3 is released from the horizontal . Assume g=10m/s2 throughout the problem.

a. Using thee Work-Kinetic Energy Theorem, find the magnitude of the velocity of the ball when it is at its lowest point (IE the string is vertical).

b. Find the tension of the string at that point.

Homework Equations


Work-Kinetic Energy Theorem: Worknet=KEf-KEi
KE= 1/2 m v2

The Attempt at a Solution


I'm not exactly ure how to begin. I think that KEi=0 but that's about it.
 
Physics news on Phys.org
When the ball reaches the lowest point, it falls through a height R. What is the fall in PE?
Using conservation of energy find KE at the lowest point and hence the velocity.
 

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