In a region of space, the potential energy of the system varies with x as u = α − (βx − γ)2 , where α = 38 j, β = 1.0 j1/2m-1, γ = 17 j1/2, and x is measured in meters. a particle of mass m = 2.5 kg is initially at x0 = 11 m. assume there are no dissipative forces (friction, wind resistance, etc.) in this problem. (a) at what position is the force on the particle zero? (b) what is the potential energy of the system when the particle is at the position that you found in part (a)? is this a point of stable or unstable equilibrium?

What is the length x of the side of the triangle below? (hint: use the cosine function)

Pl asaaap ! match the term to the correct description. a type of wave that transfers energy where the particles in the medium move perpendicular to the direction in which the energy is traveling. a type of wave that transfers energy where the particles in the medium move parallel to the direction in which the energy is traveling. movement that is back and forth, like an equal sign = a type of wave that transfers energy where the particles in the medium move in a circle motion while the energy travels left or right. movement that is like a t transfers energy from one location to another 1. wave 2. parallel movement 3. perpendicular movement 4. transverse wave 5. longitudinal wave 6. surface wave

You are given a vector a = 125i and an unknown vector b that is perpendicular to a. the cross-product of these two vectors is a × b = 98k. what is the y-component of vector b?