Sorry about the messy equations. When I took the derivative of range vs angle, I got a very complicated output. Therefore I thought it was difficult to optimize using that solution to find an expression for the angle. That's why I thought there may be a different or better approach available.
I found the function of the range of the projectile launched from a cliff.
R = vcos(x)((vsin(x))+sqrt(v^2sin^2(x)+2gh))/g
I stopped here because I feel like taking the derivative and optimizing for maximum would spiral out of control.
Is there another approach to this problem?
For this problem I tried to find when the binoculars reaches the maximum height. So, (0.75 + 1.28)/2 = 1.015s. Using that information I can solve for the initial velocity. v_o = gt = 9.947 m/s.
Then using the initial velocity I can solve for the height of John using the 2nd kinematics equation...
Can someone explain it to me exactly how dimensional analysis works (perhaps gives some examples.)
What use does it have? Is it a convenient way to check your solutions?
My teacher showed this example
E ~ G, M, R
[E] = k[G^α * M^β *R^γ]
Maybe someone can explain this.
So sorry that I'm bombarding you with questions. I may be repeating myself here.
Coming back to the basic scenario of two electrons shot at each other and bounce off. That is what the most basic Feynman diagram represents I think.
In classical physics, the electrons are surrounded by an...
As an extension question,
I read parts of the QED lecture. It said that light can take an infinitely different route, but some routes are more likely for light to take. My question is that how does that idea relate to the Feynman diagrams (where 2 electrons deflect off each other because of a...
The famous example demonstrating that simultaneity is an non-invariant variable would be the lighting bolts striking a fast moving train. Or a projector at a mid-point shooting off two beams at the same time to receivers on the opposite ends (for the person at rest and not on the train's...
For the Minkowski diagram, my teacher used "ct" as the unit y-axis and "x" as the unit of x-axis
where x is distance.
I presume that c is light speed and t is time for the y-axis. I think they are multiplied together? I thought that speed times time is distance/displacement
I'm a bit confused as...
Like I said, I'm new to Special and General Relativity. It really sucks when I space out for 2 minutes in class and for the next 30 minutes I'm completely lost until the teacher brings up a new topic. I'm looking for supplementary materials (online preferably as I'm away from home) that can...
Hi, I'm new to this thread. My brother tried to explain the Schrodinger's cat to me but the explanation was vague, I became confused. Can someone explain to me in high schooler language what it is and how it works? Thanks in advance.
As I stated in the title, I'm trying to compete at the physics Olympiad and hopefully walk away with a decent ranking. I am currently a sophomore at a mediocre high school; I'm taking this Olympiad physics class for preparation. The course is once a week for 3 hours that is covering...
A 4-kg block moving at 7m/s makes a head-on collision with a stationary block of mass 3kg. Find the velocities of the two blocks after the collision.
m2=3kg, vi2 = 0m/s
Trying to find vf1 and vf2
2. Homework Equations
Using the conservation of momentum...