Horizontal plane.
For anyone interested, I looked up the solutions, and they were able to simplify it greatly with the small angle approximations sin(theta)=theta and cos(theta)=1
Then the torque is -kL2theta, the acceleration is k/[2m]. Then they solved it in one magic step to get...
Homework Statement
A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system...
You can calculate the product of the masses with the given force and distance. Then because you know the sum, you have a system of 2 equations with 2 unknowns
For an angle in standard position (between the x axis and force vector), sine will give the y component and cosine will give the x component. You have to be careful if the question says something like "20 degrees west of north", but here they state each angle is in standard position
The two objects rotate around the center of mass of the system. In this case, the objects have the same mass so the COM is at the geometric center of the system. r doesnt equal the seperation distance, but the distance from the center of mass of the system
To an extent, we cant really define energy by what it is, only from what we observe it to do. We see something falling off a shelf and say it has kinetic energy. But where did the energy come from? Someone did work against a gravitational field to put it on the shelf, and that was stored as...
Potential energy is energy of position relative to an arbitrary reference point. It depends on the system of objects and what you define the zero point to be
The equation v = x/t only works with constant velocity. For non constant velocity but constant acceleration, you can use the equation x=v0t + 1/2at^2. The 4 kinematic equations for constant acceleration can be easily derived using calculus.
x=v0t + 1/2at^2
v-v0 = 2ax
a = (v-v0)/t
v = (x-x0)/t...
You could also say that in Bohrs model, electrons exist in discrete energy levels. An elliptical orbit would create energy differences at different points in the orbit. This would lead to constant emmission and absorption of photons spontaneously
The weight force does do work, W=Fdcos(thete). Because force is opposite of displacement (theta = 180), weight does negative work
To check your answers, remember that the new work should be the net force times displacement. The question asks for individual work, so individual forces must be...
The only thing that could make this hard is if you wanted to take light into account. It takes some time for light to reach the soldier first, but its almost instant and makes no significant difference
Voltage, like gravitational potential, is in reference to an arbitrary zero point. You can think of the change in voltage in a uniform electric field as the field times the change in distance. But were usually only concerned with the relative change in potential between 2 points
All particles have wavelike properties, but usually the mass and momentum are so large that the DeBrogile wavelength is too small to be detectable by any means (smaller than Plank length). The DeBrogile wavelength of certain electrons have been measured and confirmed experimentally
When a magnetic field exerts a force on a moving charge, the force is perpendicular to the velocity and the field (right hand rule). In this case, the work done on the particle is zero because force is perpendicular to displacement. Im not sure about the other case where a magnet does work on...
Not usually. The most obvious example of E=hf is an atom absorbing a photon of light, an electron jumping up to a higher energy level, the electron dropping back down to a lower energy level, and emitting a photon. The change in energy is proportional to the frequency of light used, and the only...
Youre looking for the equation E=hf. An EM waves energy equals its frequency times Planks constant. This provided evidence for the photon theory and the wave-particle nature of light
A phase shift occurs when light enters a more optically dense material (greater index of refraction). Youve got 2 boundaries for consideration, the air-gas boundary and the gas-glass boundary. A phase shift occurs at both boundaries, so in order to constructively interfere, the extra distance...