Calculate velocity of block down a ramp using energy conserv

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Homework Help Overview

The problem involves calculating the velocity of a block sliding down a ramp, incorporating concepts from energy conservation and friction. The scenario includes a 2kg block on a 3m ramp inclined at 40 degrees, with a coefficient of friction of 0.2.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply energy conservation principles but questions the accuracy of their calculation, particularly regarding the angle of the ramp. Some participants suggest drawing diagrams to aid understanding, while others express concerns about the adequacy of a free body diagram in determining the correct height for the block's fall.

Discussion Status

The discussion is ongoing, with participants exploring different methods to clarify the problem. There is no explicit consensus yet, but suggestions for visual aids and further analysis are being offered.

Contextual Notes

Participants are considering the implications of the ramp's angle and the effects of friction on the block's motion. The original poster's calculation may not fully account for these factors.

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Homework Statement



A 2kg block slides down a 3 m long ramp that is inclined at 40 degrees. The coefficient of friction is .2

What is the velocity when it hits the bottom of the ramp?

Homework Equations



Kinetic = 1/2 mv^2
Potential = mgh
Work of friction: Fnμ*(displacement)

The Attempt at a Solution



1/2mv^2 + mgh = 1/2mv^2 + mgh - Fnμ*(displacement)

v = 8.237.
[/B]
I don't think that's right, because I didn't take into account the angle. What do I need to do?
 
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Draw a picture.
 
You can start by drawing a free body diagram (those always help).
 
Not in this case ... a fbd won't tell OP the correct height the block falls.
 

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