# 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...