- #1
Simen
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Hello, first time here for me, I hope I posted in the right subforum.
I have a task at hand, just started a new physics course, but sadly I am far from deft with mathematics, and my physics book is in a different language and uses different notation than I am used to. The part I am having trouble with is the following:
We have a block, with the starting velocity 5m/s.
The friction from the block is given as a = -μ|v|g
Where μ = 0.1 and g = 9.8 m/s^2
Find v(t)
v(t) = v(0)+at
a = dv/dt = (d/dt)(dx/dt) =(d2x)/dt2
As it stands now, I I realize I should integrate a in order to obtain v(t), but I am horrible at math, and do not know where to start, for some reason I keep ending up with an expression without v at all, but that does not help things either. If someone could show me the first steps in this that would be great. I've written a python program to solve it numerically as well, though I can not check if it is working, because I am too inept to get my analytical solution.
Would something like this be a step in the right direction?
a = -0.98|v|
v(0) = 5 m/s
a(0) = 0
dv/dt = -0.98*v
dv/dt2 = -0.98*v*dt
(dv/dt2)1/v = -0.98dt
And then integrate from here? Could someone show me an example? Doesn't need to have any of my numbers, so long as I can learn some of what I need from it.
If anyone could provide any help, that would be greatly appreciated!
I have a task at hand, just started a new physics course, but sadly I am far from deft with mathematics, and my physics book is in a different language and uses different notation than I am used to. The part I am having trouble with is the following:
Homework Statement
We have a block, with the starting velocity 5m/s.
The friction from the block is given as a = -μ|v|g
Where μ = 0.1 and g = 9.8 m/s^2
Find v(t)
Homework Equations
v(t) = v(0)+at
a = dv/dt = (d/dt)(dx/dt) =(d2x)/dt2
The Attempt at a Solution
As it stands now, I I realize I should integrate a in order to obtain v(t), but I am horrible at math, and do not know where to start, for some reason I keep ending up with an expression without v at all, but that does not help things either. If someone could show me the first steps in this that would be great. I've written a python program to solve it numerically as well, though I can not check if it is working, because I am too inept to get my analytical solution.
Would something like this be a step in the right direction?
a = -0.98|v|
v(0) = 5 m/s
a(0) = 0
dv/dt = -0.98*v
dv/dt2 = -0.98*v*dt
(dv/dt2)1/v = -0.98dt
And then integrate from here? Could someone show me an example? Doesn't need to have any of my numbers, so long as I can learn some of what I need from it.
If anyone could provide any help, that would be greatly appreciated!