Suppose neutrinos are detected on earth using a 20,000-kg detector of100mo that transform ve's to electrons via the reaction ve + 10°m0 -» e 100tc. does the number of detected events per unit time depend on the area, a, covered by the detector? a. yes: number detected proportional to a* b. yes: number detected proportional to a3. c. yes: number detected proportional to a2. d. yes: number detected proportional to a (e. no: number detected independent on a

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.