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/sci/ - Science & Math

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3877170 No.3877170 [Reply] [Original]

I have no friends in my Physics class, so I don't have anywhere else to turn. This problem is raping my ass hole, /sci/.

An object of mass M only moves on the +x axis. It is subjected to a force in the +x direction given by

F(x)= (MK)/x^2

where K is a given positive constant and x is the distance from the origin. Suppose no other forces act upon the object. Further, you are given that at some time the object is located at x = a and has a velocity Vo in the +x direction.

What will be the velocity of this object when it is at x = b (where b > a)? Express your answer in terms of K, a, b, Vo, and numerical factors.

I sketched the problem and used newtons laws to solve for acceleration, but now I'm stumped. Initiate shameful help request.

>> No.3877188

Isn't that magnetic repulsion?

>> No.3877282

Use energy.

>> No.3877366
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3877366

>>3877188
We haven't been taught that (it's a 100-level Mechanics class).
>>3877282
Work/Energy Theorem? Good call anon. So it would be an integral from b-a to a?