Two particles with masses m and 3m are moving toward each other along the x axis with the same initial speeds vi. particle m is traveling to the left, and the particle 3m is traveling to the right. they undergo an elastic glancing collision such that particles m is moving in the negative y direction after the collision at a right angle from its initial direction.

(a) find the final speeds of the two particles in terms of vi.

(b) what is the angle theta at which the particle 3m is scattered?

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.