How Does Force Affect Object Speed and Position?

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The discussion revolves around calculating the speed of a 1.7 kg object under the influence of a force, starting from an initial speed of 0.44 m/s at position x = 0.27 m, and determining its speed at x = 0.99 m. The relevant equations include work-energy principles, specifically W = Fd and kinetic energy formulas. Participants emphasize the importance of calculating initial kinetic energy and how it changes due to work done by the force as the object moves. The conversation highlights the relationship between kinetic energy at specific locations and the object's velocity. Understanding these concepts is crucial for solving the posed problems regarding speed and position.
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Homework Statement



The force shown in the figure acts on a 1.7kg- object whose initial speed is 0.44m/s and initial position is x=.27m. Find the speed of the object when it is at the location x=.99m. At what location would the object's speed be 0.32m/s ?



Homework Equations


I know that W=Fd. K=1/2mv^2. Vf^2=Vi^2+2ad.



The Attempt at a Solution


I have no clue where to start. I am completely lost. Where do, or how do I begin? Thanks for the help!
 

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compute the initial KE, at its initial location.
That KE is changed by the F.d , as it moves along:
(.8N)(.23m) extra as it crosses the 0.5m mark. etc.
 
Ok, so how does finding the Joules help me solve for velocity and location?
 
the KE contains all the info to find out how fast it's going. (½mv.v)
it's about KE _at_ a location , just like it used to be "velocity at a time"

Notice that they ask "where was it going slower than at 0.27m?"
 

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