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If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$? We can find its velocity if it has travelled a given distan...
#4: Post edited
by
Trilarion
·
2023-02-26T10:26:58Z (about 1 year ago)
more specific title
Find position of a particle at a time
- How to find position of a particle at a time given a position dependent force
- If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
- We can find its velocity if it has travelled a given distance
- $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} \cdot m_p(u_f^2 - u_o^2) $$
but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
- If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
- We can find its velocity if it has travelled a given distance
- $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} \cdot m_p(u_f^2 - u_o^2) $$
- but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force.
#3: Post edited
Find position of a particle at a time
- If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
- We can find its velocity if it has travelled a given distance
$$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} * m_p(u_f^2 - u_o^2) $$- but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
- If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
- We can find its velocity if it has travelled a given distance
- $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} \cdot m_p(u_f^2 - u_o^2) $$
- but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
#2: Post edited
by
Canina
·
2021-08-14T11:07:18Z (over 2 years ago)
Typeset equation using inline Mathjax instead of as image, plus minor formatting and copy-editing
Find position of a particle at a time
If we have a force which changes depending on the position of a particle how can we find the position of the particle at some time t?- We can find its velocity if it has travelled a given distance
but this equation doesnt involve time and i dont se how we can 'generate' time from a position varying force.Any help?
- If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
- We can find its velocity if it has travelled a given distance
- $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} * m_p(u_f^2 - u_o^2) $$
- but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
#1: Initial revision
by
MissMulan
·
2021-08-14T06:20:54Z (over 2 years ago)
Find position of a particle at a time
If we have a force which changes depending on the position of a particle how can we find the position of the particle at some time t? We can find its velocity if it has travelled a given distance  but this equation doesnt involve time and i dont se how we can 'generate' time from a position varying force.Any help?