Finding the magnitude of acceleration

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SUMMARY

The problem involves calculating the magnitude of acceleration for a toy train that rolls at a steady speed before experiencing a sticking wheel. Initially, the train is released at a position of x0=1.42 m with a speed of 1.86 m/s. After rolling for 2.04 seconds, it comes to a stop 5.06 m from its release point. To find the acceleration, one must first determine the distance traveled during the constant velocity phase and then apply a kinematic equation to solve for acceleration after the wheel begins to stick.

PREREQUISITES
  • Kinematic equations for linear motion
  • Understanding of initial and final velocity concepts
  • Basic principles of distance and time in physics
  • Ability to perform algebraic manipulations
NEXT STEPS
  • Study kinematic equations, particularly the equation relating distance, initial velocity, final velocity, and acceleration
  • Practice problems involving constant velocity and acceleration changes
  • Explore concepts of friction and its effects on motion
  • Learn about graphical representations of motion, such as distance-time graphs
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and kinematics, as well as educators looking for practical examples of acceleration calculations.

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Homework Statement



A toy train is pushed forward and released at x0=1.42 m with a speed of 1.86 m/s. It rolls at a steady speed for 2.04 s, then one wheel begins to stick. The train comes to a stop 5.06 m from the point at which it was released. What is the magnitude of the train’s acceleration after its wheel begins to stick?

Homework Equations



I can't figure out the equation or how to start this problem?

The Attempt at a Solution

 
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Draw a picture, and remember that when the toy is released the toy has constant velocity until its wheel gets stuck. So calculate the distance traveled in that time.

Once you have that you can subtract all the distances to get the distance traveled when under a negative acceleration due to the sticky wheel. You will have distance travelled, initial velocity, and final velocity. Then you can solve for the 'a' using a well-chosen kinematic equation.
 

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