varying

1. varying vev for a scalar field of complex charge, such as as the Higgs field

Here is some background for my question, which is as I currently understand it (meaning, it may be wrong): In a self-interacting scalar field, the formula for potential energy can be given as (μ^2 * (Φ^2)/2) + (λ * (Φ^4)/4). In a field with an imaginary value for μ, μ^2 becomes negative...
2. Moment of inertia for a slender rod of varying mass

Hi, I have come across a problem where I eventually got the answers to two parts of the problem, but only after I had attempted each part first and got it wrong then, for each part sort of 'reverse-engineered' the solution from knowing what the correct solution was and although I came away with...
3. Varying friction over time, to find distance

"A 1500 kg car is traveling at 110 km/h when its engine is shut off. The magnitude of the frictional force Fk between car and asphalt is proportional to the speed v of the car: Fk = 90v, where v is in meters per second and Fk is in newtons. Find the distance that the car will travel until it...
4. Total charge of sphere with varying charge density?

"A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ρ = Ar for r R, where A is a constant. (Use pi for π, epsilon_0 for ε0, A for A, r for r, and R for R, as necessary.) (a) Find the total charge on the sphere."...
5. Tension at varying velocites

Hey need some help with the methodology on how to solve this question a elevator has a mass of 2000kg is being lowered down a shaft. it movesfrom rest with an acceleration of 4m/s^2 until it is traveling at 15m/s. it then travels at a constant speed for 700m and comes to rest in 6s.Calculate...