Sorry for the late response. Is there some mathematical function that describes the whole scope of the domain? A piece wise perhaps? What is the threshold in which you shift from proportionality of v2 to v?
I’m having a difficult time comprehending that the force changes due to velocity. I’m...
So the interpretation of the equation is that it takes an infinite distance to stop? I’m not following what you’re saying because my intuition is, what I have previously thought of as, strong that it will stop.
I’m not sure how to interpret that. Plugging in values here doesn’t yield a finite distance, yet I know that the object will eventually stop. What am I missing?
After posting I did try to integrate with bounds. I tried v bounds of v0 and vf. Since I want to find the total distance, however, I substituted 0 as vf. This gave me a problem with the ln function since ln(0) is undefined.
Homework Statement
Find the distance, x, that an object of mass m travels through a medium, given an initial veloicty v0.
Homework Equations
I searched the web and came across a site that showed how to deal with velocity dependent forces...
Right.. Originally that was the aim of the question. However, as you pointed out, that is not possible. Not using KE makes more sense and is how I formed the question but while I was typing I added the KE conversion in there to try to make more sense (but it just added confusion).
Thanks.
Sorry to restart the discussion, but considering all of the established theoreticals, what if the photon shot from the right side of the box to the left and hit the side of the box? Light has momentum, right? Wouldn't that affect the motion of the box in addition to the change in kinetic energy...
It's not... at all. This is definitely not applicable, just like there is not or will be a box in space with a light bulb that can produce a single photon by only converting kinetic energy to light. But thank you for your response. This was used to clarify a foggy concept.
A small amount of energy of the box is being converted to the energy of the photon. The total energy is not increasing but rather being moved around. The system's energy is conserved.
Homework Statement
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A box is traveling with a certain velocity in space. Inside the box is a light bulb, which is capable of releasing one photon of light. The light bulb harnesses the energy from the box; it does not require an outside power source but instead uses the energy on the...