A catapult on a level field tosses a 3.0 kg stone a horizontal distance of 100 m.
A second 3.0 kg stone tossed in an
identical fashion breaks apart in the air into
two pieces, one with a mass of 1.0 kg and
one with a mass of 2.0 kg. Both of the
pieces hit the ground at the same time. If
the 1.0 kg piece lands a distance of 180 m
away from the catapult, how far away
from the catapult does the 2.0 kg piece
land? Ignore air resistance.

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.