Solve IB Exam Practice Problem: Block on Inclined Plane

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SUMMARY

The problem involves a block with a mass of 21.1 kg sliding down an inclined plane at a slope angle of 13.3° with constant velocity, indicating no acceleration. The coefficient of friction can be determined from the net force equation. To find the distance the block travels up the incline after being projected with an initial speed of 4.25 m/s, energy considerations must be applied, specifically using the principles of kinetic and potential energy.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of friction and coefficient of friction
  • Basic knowledge of energy conservation principles
  • Ability to solve equations involving trigonometric functions
NEXT STEPS
  • Study the calculation of the coefficient of friction in inclined planes
  • Learn about energy conservation in mechanical systems
  • Explore the application of kinematic equations in projectile motion
  • Investigate the effects of slope angle on motion dynamics
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Students preparing for the IB Physics exam, educators teaching mechanics, and anyone interested in understanding the dynamics of motion on inclined planes.

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Hi this question is from past IB exam. I tried to solve it but i am not getting the right answer. Could someone please help me on this thanks a lot.

A block with mass m = 21.1 kg slides down an inclined plane of slope angle 13.3 ° with a constant velocity. It is then projected up the same plane with an initial speed 4.25 m/s. How far up the incline will the block move before coming to rest?
 
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Constant velocity means no acceleration. Therefore, when you write your net force equation, you can solve for the coefficient of friction.

After that, you can use energy considerations to find how far up the block goes.
 

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