What is the final velocity of a block on a ramp with given parameters?

[galuda]

Homework Statement

A block starts from rest at a heigh of 8m on a fixed inclined plane. The acceleration of gravity is 9.8m/s^2. What is the speed of the block at the bottom of the ramp? Answer in units of m/s.

Block mass = 4.5kg
coefficient of friction = 0.19
Angle of incline = 29 degrees
Distance from block to end of ramp = 8m

Homework Equations

The Attempt at a Solution

using a = (sin(theta)-ucos(theta)g I got 3.122 for a. However I'm not sure how to get a final velocity for the block from just the acceleration and distance.

 

[learningphysics]

There's a kinematics equation that will directly give you the final velocity v2.

You know v1, a and d... you need v2... which equation will let you get it?

 

[galuda]

that would be sqrt of 2ax since vi is 0, but that answer comes out to 7.068 which is wrong so i must have my acceleration wrong

 

[learningphysics]

that would be sqrt of 2ax since vi is 0, but that answer comes out to 7.068 which is wrong so i must have my acceleration wrong

your acceleration looks right to me.

Did you use the right distance?

They give the height as 8m. But what is the length of the incline?

 

[galuda]

oh man I'm such an idiot. That would be the problem.