I know the speed of light is invariant. The way I worked it was putting it through the Lorentz time transform solving for v. then put that v in the x Lorentz transform
Homework Statement
Two events occur at the same place in a certain inertial frame and are separated by a time interval of 4 seconds. What is the spatial separation between these two events in an inertial frame in which the events are separated by a time interval of 6 seconds?
Homework...
Homework Statement
3ti+ 8t^{(3/2)}j + 12t^{2}k
0 \leq t \leq 1
Homework Equations
The Attempt at a Solution
I thought you are supposed to take the derivative of all three then square that. those all go into the length formula
My book says answer should be 15 but I am not...
OK I just put it in and it said it was wrong so I don't care anymore. I think its right as do all of you so I am going with the homework having a typo in the answer.
Thanks again
ok i have got to the that point is that answer right? then you just substitute the 1 in and that's the answer? I just want to know that I did it right my online homework is picky about the answer format.
Thanks to all
Arc length is the Integral of sqrt(1+(f '(x))^2) so Derivative of the equation is 12x^1/2. Then I believe you are supposed to square that. Thats the same as (sqrt(12x))^2 right? so I tired it like that I also did 12x^1/2 * 12x^1/2= 144x so then I know you finish of the integral. I used U...
Homework Statement
y = 5 + 8x^3/2 from 0 to 1
Homework Equations
The Attempt at a Solution
I have tried it a few times Keep getting variations of 1+ 12\sqrt{12}. I would like some to give me a step by step how to work it. Something is killing me on this I am lost.
Oh ok so the total kinetic energy plus the spring energy equals the original energy of the system. I might not have said the right but I understand what your saying. I was just having a hard time figuring out where the energy went but then, like you showed, it wasnt a perfectly elastic...
Homework Statement
In the figure below, block 1 (mass 1.6 kg) is moving rightward at 8 m/s and block 2 (mass 4.2 kg) is moving rightward at 2.8 m/s. The surface is frictionless, and a spring with spring constant of 1120 N/m is fixed to block 2. When the blocks collide, the compression of the...
I got the the answer to be 59(\frac{1}{4}x sin(2x) + \frac{1}{8}cos(2x) + \frac{x^2}{4})
But this was from my calculator I still don't know how to do it.