Calculating Velocity: Force, Mass & Distance Relationship

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Homework Help Overview

The discussion revolves around calculating the velocity of a body influenced by a force that varies with distance. The subject area includes dynamics and the relationship between force, mass, and motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between force and acceleration, with attempts to express velocity in terms of time. Questions arise regarding the dependency of distance on time as the body moves.

Discussion Status

Some participants have suggested integrating the acceleration to find velocity, while others have pointed out the need to consider the changing distance as the body approaches a point. There is an acknowledgment of the complexity of the problem, with varying interpretations of how to proceed.

Contextual Notes

There is a mention of using energy conservation principles, indicating a potential constraint in the approach to finding the velocity function. Participants are navigating the implications of a non-constant distance in their calculations.

The Trice
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I have a body of 1kg of mass being acted on by a force of magnitude equal (10000/(y^2))
[where y is the distance between the body and a certain point] and this force is in the direction pointing to the point
so depending on what mentioned above :-
what i know is : f = a = (1000 0/(y^2))
and that Dy/Dt = V (velocity)

What is needed is the function of the velocity in terms of time.
Thanks for reading.
 
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As you have said a=10000/(y^2)
==>Dv/Dt=10000/(y^2)
if y is a fixed value and independent of time ,integrating with respect to t

v=10^5(t)
-------
y^2
 
ofcourse y is not a constant value since the distance which is y decreases as the body moves towards the point
 
any help ??
 
is it this hard i just want to know the velocity equation between body attracted to a point or another body!
 
You probably need to find the velocity as a function of distance y first. Using energy conservation would help with that.
 

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