When a cannon fires a cannonball, the cannon will recoil backward because the:
a) energy of the cannonball and cannon is conserved.
b) energy of the cannon is greater than the energy of the cannonball.
c) momentum of the cannonball and cannon is conserved.
d) momentum of the cannon is greater than the energy of the cannonball.

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i. e., a subspace of r 3 ). explain your reasoning

Aregion of space in which a measurable gravitational force is indicated by the force exerted on a test mass is called

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?