Finding the speed of a block moving on an incline

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SUMMARY

The discussion focuses on calculating the speed of a block moving down an incline when connected to a hanging mass. The problem involves a 250g block on a 30-degree incline with a coefficient of kinetic friction of 0.10, and a 200g hanging mass. The solution requires applying Newton's second law and understanding the forces acting on both blocks. The final speed of the hanging mass after falling 30 cm is determined to be 0.84 m/s, as stated in the reference material.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of frictional forces and coefficients (μk)
  • Basic principles of inclined planes and tension in strings
  • Ability to analyze free body diagrams
NEXT STEPS
  • Study the derivation of forces on inclined planes in physics
  • Learn about the application of Newton's laws in multi-body systems
  • Explore the concept of tension in strings and its effects on connected masses
  • Practice problems involving kinetic friction and motion on inclines
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Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for examples of inclined plane problems.

Singdasorrow
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I apologize i do not have a picture to show.


1. Homework Statement [/b]
A block of mass 250g is at rest on an incline that makes an angle of 30 degrees to the horizontal. The coefficient of kinetic friction between the block and the plane is 0.10. The block is attached to a second block with a mass of 200 g that is connected by a light string that passes over a mass-less, frictionless pulley. When the hanging mass has fallen 30 cm, what is its speed?


2. Homework Equations [/b]
Fk = μkN
sum of the Forces = ma
N-Weight(perpendicular to incline)=0 where N is the normal force (for block on incline)
T-W=0 Where T is = tension and W = weight of the hanging mass

3. The Attempt at a Solution [/b]
Unfortunately i do not understand how to set up this problem and solve for the speed. I know that the blocks are first at rest is first at rest so the sum of the forces acting in parallel to the incline are 0. I know that the movement of the hanging block is equal to the movement of the block on the incline. But from there i am stuck. In my book it just gives an answer .84 m/s but it doesn't show me how to get that answer. Any tips on how to approach this kind of problem would be very appreciated <3
 
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Step 1. Draw a large diagram on which you can mark what you are given, and what you can calculate.

Step 2. Determine the forces (due to weight) that act on the blocks in the direction that the blocks are moving.
 

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