An aircraft is coming in for a landing at 300 meters height when the propeller falls off. the aircraft is flying at 40.0 m/s horizontally. the propeller has a rotation rate of 20 rev/s, a moment of inertia of 70.0kg-m2 , and a mass of 200 kg. neglect air resistance. (a) with what translational velocity does the propeller hit the ground? (b) what is the rotation rate of the propeller at impact?

Atotal charge of –6.50 µc is uniformly distributed within a sphere that has a radius of 0.150 m. what is the magnitude and direction of the electric field at 0.300 m from the surface of the sphere? a) 2.89 × 105 n/c, radially inward b) 6.49 × 105 n/c, radially outward c) 4.69 × 105 n/c, radially inward d) 9.38 × 105 n/c, radially outward e) 1.30 × 106 n/c, radially inward

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

Is a volume of space that is empty of matter.