How to Calculate Speed at Different Points Using Conservation of Energy?

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SUMMARY

The discussion centers on calculating the speed of an 8 kg block at different points using the principles of conservation of energy, specifically from "Conceptual Physics" 10th Ed. by Paul G. Hewitt. The initial speed at Point A is 7 m/s, and the problem involves determining the speeds at Points B and C while neglecting frictional forces. The key approach involves using kinetic and potential energy equations to find the resultant speeds, emphasizing the role of gravitational potential energy in the calculations.

PREREQUISITES
  • Understanding of kinetic energy and potential energy concepts
  • Familiarity with the conservation of energy principle
  • Basic knowledge of gravitational forces
  • Ability to manipulate equations involving energy
NEXT STEPS
  • Study the equations for kinetic energy (KE = 1/2 mv²) and potential energy (PE = mgh)
  • Learn how to apply the conservation of mechanical energy in problem-solving
  • Explore examples of energy conservation in different physical systems
  • Investigate the effects of friction on energy calculations in real-world scenarios
USEFUL FOR

This discussion is beneficial for students in physics courses, educators teaching energy concepts, and anyone interested in applying conservation of energy principles to solve practical problems in mechanics.

Peterson
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INTRODUCTION:
This is a problem from my Introduction to Physical Science class using "Conceptual Physics" 10th Ed.by Paul G. Hewitt

EXACT PROBLEM:
"The block in the figure at the right has a mass of 8kg and an initial speed of 7 m/s at Point A. Neglect frictional forces."

PROBLEMS FACED:
a) What will be its speed when it reaches Point B?
b) What will be its speed when it reaches Point C?

MY THOUGHTS:
Should I be looking for kinetic energy? What am I doing here?
 
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This is the diagram:

physics-1.jpg
 
Kinetic and Potential energy. Looks like an application of work energy/
 
I would think that speed is in this case equal to the initial plus any provided by external forces. In this case, the only other force is gravity. So as you suggest use th potential energy from gravity to add to the initial velocity. Whats that eqn?
 

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