Solving for Acceleration and Friction on an Inclined Plane

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Homework Help Overview

The problem involves a block sliding down an inclined plane, requiring the calculation of acceleration, the coefficient of kinetic friction, and the frictional force acting on the block. The context is rooted in classical mechanics, specifically Newton's laws of motion and the dynamics of inclined planes.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the decomposition of forces acting on the block into components parallel and perpendicular to the incline. There are attempts to relate acceleration to distance and time using kinematic equations. Questions arise regarding the calculation of these components and the application of relevant equations.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have begun to outline potential approaches, while others are questioning the relationships between the variables involved. No consensus has been reached yet, but there is a productive exchange of ideas regarding the physics concepts at play.

Contextual Notes

Participants are navigating through the problem without complete clarity on the necessary equations and relationships, indicating a need for further exploration of the concepts of acceleration and friction in this context.

mickjagger
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Applying Newton's 2nd law?!

Homework Statement



A 2.91 kg block starts from rest at the top of a 32◦ incline and slides 1.98 m down the incline in 1.28 s.
The acceleration of gravity is 9.8 m/s2

What is the acceleration of the block?
Answer in units of m/s2

What is the coefficient of kinetic friction be-
tween the block and the incline?

What is the frictional force acting on the
block?
Answer in units of N.

What is the speed of the block after it slid the
1.98 m? answer in m/s




Homework Equations


Newtons 2nd's Law

max=\sumfx=mgsin\Theta

0=\sum Fy=-mgcos\Theta+n


The Attempt at a Solution


I have no idea how to approach this problem.
 
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The weight of the block can be split into two components, one parallel to the plane and one perpendicular to the plane.

What the component parallel to the plane and what is the component perpendicular to the plane?
 


The thing to realize is that acceleration is change of velocity over time, and can be related to both velocity and distance.
I would assume that the acceleration is smooth, and apply the old formula

s=ut+(1/2)at^2 [s=distance, u=initial velocity, a= acceleration]

Then I would be able to derive the acceleration that was felt by the block while it slid down the plane, which is a good start.
 


using Vx=V cos Theta and Vy=Vsin theta:
x component= 1.679?
y component= 1.0492?
 

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