Help with a Potential Energy Problem

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SUMMARY

The discussion focuses on a physics problem involving a block of mass m = 1.0 kg sliding along a frictionless loop-the-loop, released from a height h = 8R. Key calculations include the work done by gravity as the block moves from point P to point Q and to the top of the loop, as well as the gravitational potential energy at points P, Q, and the top of the loop. The gravitational potential energy is defined as zero at the bottom of the loop, establishing a reference point for calculations.

PREREQUISITES
  • Understanding of gravitational potential energy concepts
  • Knowledge of work-energy principles in physics
  • Familiarity with the mechanics of circular motion
  • Basic algebra for solving equations involving height and energy
NEXT STEPS
  • Calculate gravitational potential energy using the formula PE = mgh
  • Explore the work-energy theorem in the context of conservative forces
  • Investigate the dynamics of objects in circular motion
  • Review energy conservation principles in mechanical systems
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Students studying physics, educators teaching mechanics, and anyone interested in understanding energy transformations in motion.

champ0342
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In the figure below, a small block of mass m = 1.0 kg can slide along the frictionless loop-the-loop. The block is released from rest at point P, at height h = 8R above the bottom of the loop. (For all parts, answer using g for the acceleration due to gravity, and R and m as appropriate.)
"[URL
http://www.webassign.net/hrw/08_33.gif

(a) How much work does the weight of the block do on the block as the block travels from point P to point Q?

(b) How much work does the weight of the block do on the block as the block travels from point P to the top of the loop?

(c) What is the potential energy when the block is at point P? (Assume that the gravitational potential energy of the block Earth system is taken to be zero at the bottom of the loop.)

(d) What is the potential energy when the block is at point Q?

(e) What is the potential energy when the block is at the top of the loop?
 
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Did you read https://www.physicsforums.com/showthread.php?t=94379" ??
 
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