Mechanics Homework Problem: Find Velocity of a Particle on an Inclined Plane

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To find the velocity of a 1kg particle sliding down a frictionless inclined plane with a 30-degree angle from a height of 3.17 meters, the conservation of energy principle can be applied. The potential energy at the top, calculated using the formula PE = mgh, converts entirely to kinetic energy at the bottom, represented by KE = 0.5mv². By equating potential energy to kinetic energy and solving for velocity, the final velocity can be determined. The gravitational acceleration is approximately 9.8 m/s². This approach leads to the solution of the problem effectively.
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Hey there. I am taking a course in Mechanics, and was assigned a homework quiz. I just need some assistance with the following problem. It reads:

A particle of mass 1kg begins at rest on the surface of an inclined plane with inclination angle of 30degrees. If the vertical height of the particle is originally 3.17 meters, what is the velocity of the particle (in meters per second) when it reaches the bottom of the inclined plane? (You may assume there is no friction between the particle and the surface of the plane). Recall that g ~ 9.8m.s-2 in computing the answer.

Many thanks
 
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hi wrdsmith13! welcome to pf! :smile:

conservation of something? :wink:​
 

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