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

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Homework Help Overview

The problem involves a block sliding down a fixed inclined plane, starting from rest at a height of 8 meters. The parameters include the acceleration due to gravity, the mass of the block, the coefficient of friction, the angle of incline, and the distance from the block to the end of the ramp.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of kinematics equations to find the final velocity, questioning the correct application of acceleration and distance. There is uncertainty about the length of the incline and its impact on the calculations.

Discussion Status

Some participants have offered guidance on using kinematics equations, while others are exploring the implications of the height versus the actual distance along the incline. There is a recognition of potential errors in the acceleration calculation and the need to clarify the distance used.

Contextual Notes

Participants are considering the relationship between the height of the ramp and the length of the incline, which may affect the calculations. The original poster expresses frustration over a possible misunderstanding of the problem setup.

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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.
 
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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?
 
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
 
galuda said:
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?
 
oh man I'm such an idiot. That would be the problem.
 

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