Acceleration on an Incline: Calculating Net Acceleration and Final Speed

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Homework Help Overview

The discussion revolves around calculating net acceleration and final speed for an object moving down an incline, specifically in the context of grass skiing. The problem involves understanding the forces acting on the skier, including gravitational force and friction.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate acceleration using gravitational components but questions the correctness of their approach. Some participants emphasize the importance of including friction in the calculations and suggest a different method to derive net acceleration.

Discussion Status

The discussion is active, with participants providing insights on the role of friction and encouraging further exploration of the problem. There is an exchange of supportive comments, indicating a collaborative atmosphere, though no consensus on the solution has been reached.

Contextual Notes

Participants are navigating the complexities of forces on an incline, including the effects of friction, and are working within the constraints of a homework assignment that requires careful consideration of all forces involved.

RingWraith2086
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Question: The record for grass skiing was set blah blah blah. Suppose it took Spinka 6.60 s to reach his top speed after he started from rest down a slope with a 34 degree incline. If the coefficient of friction between the skis and the grass was 0.198, what was the magnitude of Spinka's net acceleration? What was his speed after 6.60 s?

Here's what I've done:
I thought a=g(sinTheta)
Which gives me
a = 9.81(sin34)
a = 5.486 m/s2,
which isn't right. What am I doing wrong?
 
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Don't forget the friction:

[tex]F_{\rm net} = ma = mg\sin\theta - \mu mg\cos\theta[/tex]

Solve for a (you'll see that m cancels out) and then use kinematics to get the speed part.
 
Well you just seem to know everything don't you? Maybe once I get through a quarter of physics I'll be able to help people too. Thanks once again.
 
Originally posted by RingWraith2086
Well you just seem to know everything don't you? Maybe once I get through a quarter of physics I'll be able to help people too. Thanks once again.

If only I did... Well, I'm glad I knew enough to help you here. It's also good to hear your willing to help when you can too. Keep up the good work.
 

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