[25 points] imagine two billiard balls on a pool table. ball a has a mass of 7 kilograms and ball b has a mass of 2 kilograms. the initial velocity of the ball a is 6 meters per second to the right, and the initial velocity of the balloon b is 12 meters per second to the left.

when the two balls hit each other, what will happen if it is a perfectly inelastic collision?

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k

Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z direction.