Aconstant force = 2.00 n + 3.00 n acts on a 5.00 kg object as it moves in a straight line from the position1 = 1.00 m + 1.00 m to a position 2 = 4.00 m - 1.00 m . determine the work done by the force during this motion.

1. in terms of fuel economy rank the following hybrid and electric vehicles, and justify application specific to each hybrid technology stop/start | mild hybrid | full hybrid | plug-in hybrid | full electric a. rank based on fuel economy b. justify your application specific for each technology

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants

You are an astronaut working on the international space station. accidentally, you let go of the handhold and drift off towards earth. the illustration, below, includes the details of your position (not drawn to scale). i’m a little stuck on the gravitational force felt by the astronaut from the iss. a little ?