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

AI Thread Summary
To calculate the final velocity and time for a 20kg object sliding down a 10m long, 15-degree slope with a coefficient of friction of 0.2, start by determining the forces acting on the object. The gravitational force components can be calculated using Fg = mag, Fn = Fgcos(theta), and Fp = Fgsin(theta). The net force can be found using Fr = MAr, incorporating friction into the calculations. To find the resultant acceleration, apply the equations of motion, and use conservation of energy to determine the final velocity. Finally, use the equation v = u + at to calculate the time taken to slide down the slope.
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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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