How Do You Calculate Final Velocity and Time for an Object on a Sloped Surface?

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SUMMARY

The discussion focuses on calculating the final velocity and time for a 20kg object sliding down a 10m long slope at a 15-degree angle with a coefficient of friction of 0.2. Key equations include Fg=mag, Fn=Fgcos(theta), and Fr=MAr. The user successfully derived the equation Fr=MAr but encountered difficulties in substituting variables to find final velocity (Vf) and time (t). The solution involves using conservation of energy to find Vf and applying the equation v=u+at to determine t.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with basic trigonometry
  • Knowledge of friction and its coefficients
  • Ability to apply kinematic equations
NEXT STEPS
  • Learn how to apply conservation of energy in mechanical systems
  • Study kinematic equations in detail, particularly v=u+at
  • Explore the effects of friction on motion in inclined planes
  • Practice solving problems involving forces on sloped surfaces
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Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of real-world applications of physics concepts.

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Homework Statement



A 20kg object is on a 10 m long, 15 degree slope , that has a coefficient of friction that is 0.2 Calculate the time to slide down the final velocity at the bottom

2. Homework Equations [/b

Fg=mag
Fn=Fgcos(theta)
Fp=Fgsin(theta)
mu=Ff/Fn
Fr=MAr

The Attempt at a Solution



I have gotten to the Fr=MAr stage, but after that where you substitute for Vf, Vi, S, Ar, and T; I have gotten stuck.

Any hints or tips would be greatly appreciated, thanks for your time
 
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Find the resultant acceleration.
Find the final velocity with conservation of energy.
Use v=u+at and find t.
 

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