Homework Statement
A rolling ball traveling horizontally with a certain initial translational velocity comes to a hill with a defined height. Upon reaching the top, it flies off of a cliff and falls to the ground and ends up at the same relative height that it began at. If the final diagonal...
Oh. You integrate the left side with respect to v and the right with respect to t? So
int[v^-1/2]dv=-kt/m + c
1/2v^1/2= -kt/m + c
v=sqrt[-2kt/m+c]
Would c somehow have to do with v0 then? Would it be
v=sqrt[-2kt/m] + v0 ?
So you would integrate both sides with respect to t? If that is the case, I know that the right side will be -kt/m, but I do not understand how to perform the left side's integral.
Now that I think about it I think it should be done this way (though I'm not sure of this either because it ends with the square root of -kt/m... so unless k is negative it's not real):
dv/dt = -(k/m)*sqrt(v)
v = -(k/m)*int[sqrt(v)]dt
v = -(k/m)*[t*sqrt(v)*(1/v)]
v = -(k/m)*(t/v)
v^2 = -kt/m
v...
Homework Statement
A retarding force acts on a particle with mass m and initial velocity v0 moving on a horizontal surface; this force is proportional to the square root of the instantaneous velocity of the particle:
Fr = -k*sqrt(v)
Find an expression for the velocity of the rock as a...
Homework Statement
Under the influence of gravity g, a vehicle with mass m and initial velocity v0, travels a distance d1 to the bottom of a frictionless ramp ("a" degrees above horizontal). It then begins to travel up a ramp ("b" degrees above horizontal) with friction coefficient u. What...
If a matrix squared is equal to the original matrix, does that mean that the original matrix had to be either the zero matrix or the identity matrix?
Thanks.
Just to clarify these concepts: if a homogeneous system of linear equations with four variables z1, z2, z3, and z4 yields a matrix in reduced row echelon form that defines (as an arbitrary example) the linear equations
z1 = z3 + 0.5z4 = t + 0.5s
z2 = 2z3 - z4 = 2t - s
z3 = t
z4 = s...
Thanks!
One more quick question - is the following uncertainty propagation correct also?
\frac{1}{ \left( r \pm \Delta r \right)} = \frac{1}{r} \pm \frac{1}{ \Delta r}
Thanks again.
For the following calculation, would the uncertainty propagate as I have estimated?
\frac{\left(a \pm \Delta a \right) + \left(b \pm \Delta b \right)}{\left(c \pm \Delta c \right) \cdot \left(d \pm \Delta d \right)} = \frac{a+b}{cd} \pm \frac{a+b}{cd} \left( \frac{\Delta a + \Delta b}{a +...
I've attempted that, and I finally realized what the problems where this morning. Firstly, the first for loop should read "i<(iter-1)", and I shouldn't have included the break statement in the other for loop.
If anyone is experienced with C++ programming, could they please help here? I have another problem with this task:
https://www.physicsforums.com/showthread.php?t=173810
Thanks!
Hello,
I am attempting to create a program that will evaluate the Bateman equation for radiactive decay series, given several decay constants stored in a text file. I am not sure where this is going wrong, but no matter what chain member I enter in as the desired nuclide to find the mass...