Calculating Kinetic Energy of a Block on an Inclined Plane

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SUMMARY

The discussion focuses on calculating the kinetic energy of a 9kg block on a frictionless inclined plane with a ramp length of 4m. Initially, the block has gravitational potential energy, which can be converted into kinetic energy as it descends. When a frictional force of 2 Newtons opposes the motion, the final speed of the block at the bottom of the plane must be recalculated by accounting for this opposing force. The key takeaway is that energy conservation principles apply, allowing for the calculation of speed based on initial potential energy and work done against friction.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Knowledge of kinetic energy calculations
  • Familiarity with Newton's laws of motion
  • Basic principles of energy conservation
NEXT STEPS
  • Calculate gravitational potential energy using the formula PE = mgh
  • Learn about kinetic energy calculations with KE = 0.5mv²
  • Study the work-energy principle to understand the impact of opposing forces
  • Explore frictionless motion scenarios in physics problems
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Teh
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A block of mass 9kg is initially at rest at the top of an inclined plane of ramp length 4m.

-Assuming that the plane is frictionless, calculate the speed of the block at the bottom of the plane.

-Now instead assume the a frictionless force of Ffr = 2 Newtons opposes the motion of the block. Calculate the speed of the block at the bottom of the planeView attachment 5601I am stuck may anyone help me?
 

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Okay, first you need to compute the initial energy of the block, and the final energy of the block, and equate the two since there are no non-conservative forces at work.

Initially, the block has no kinetic energy, but it has gravitational potential energy. Can you give the total initial energy?
 

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