Finding Acceleration on an Inclined Plane: A Simple Homework Problem

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SUMMARY

The problem involves calculating the acceleration of a block released from rest on an inclined plane, moving 3.2 meters in 5.1 seconds at a 36-degree angle. The correct approach requires using kinematic equations to relate displacement and time, specifically the formula \( a = \frac{2d}{t^2} \). Additionally, it is crucial to consider the effects of friction, as it influences the net force acting on the block. Understanding these dynamics is essential for accurately solving the problem.

PREREQUISITES
  • Understanding of kinematic equations, particularly \( a = \frac{2d}{t^2} \)
  • Basic knowledge of forces, specifically Newton's second law (F=ma)
  • Familiarity with vector components of forces on an inclined plane
  • Concept of friction and its role in motion on inclined surfaces
NEXT STEPS
  • Study kinematic equations for uniformly accelerated motion
  • Learn about the components of gravitational force on an inclined plane
  • Explore the calculation of frictional forces and coefficients of friction
  • Practice solving similar problems involving inclined planes and friction
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of inclined plane problems and their solutions.

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Homework Statement



I truthfully don't know what I'm doing incorrectly with this one, it seems VERY straightforward.

A block is released from rest at the top of an inclined plane and moves 3.2 m within 5.1 seconds. The inclined plane makes a 36 degree angle with the horizontal. What is the magnitude of acceleration for the block?



Homework Equations



F=ma

The Attempt at a Solution



I essentially thought this was very straightforward. Set up the mg vector and then simply solve for the side of the plane itself. I tried to do this and it was incorrect. I feel, however, that I'm missing something major here, because I don't see where I use the displacement and time in this. Also the next question is asking for the coefficient of friction.

I'm understanding and plowing through most of these questions, but every once in a while, I get a curve ball that just throws me off.


thanks for the help!
 
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You need to solve for the acceleration using the distance & time data given (and some kinematics formulas). You cannot assume that gravity is the only force acting. (Friction is acting, too.)
 
ahhh! totally makes sense now. I swear, when I get in vector mode, I forget about normal kinematics...

thanks so much!
 

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