A merry-go-round initially at rest at an amusement park begins to rotate at time t=0 . The angle through which it rotates is described by θ(t)=(π/k)*(t+ke^(−t/k)) , where k is a positive constant, t is in seconds, and θ is in radians. The angular velocity of the merry-go-round at t=T is Zero

(5/2)kπ

(π/k)*(1−e^(−Tk))

π

2π

Why are graphs useful when interpreting data

Match each vocabulary term to its definition. 1. electrons neutral subatomic particles found in the nucleus of the atom 2. neutron lowest energy position of an electron in an atom 3. photon the path of an electron around the nucleus of an atom 4. ground state negatively charged, subatomic particles 5. protons packet of energy of specific size 6. element substance with only one type of atom 7. orbital positively charged, subatomic particles found in the nucleus of the atom

Arigid tank is divided into two equal parts by a partition. one part of the tank contains 3 kg of compressed liquid water at 400 kpa and 60°c while the other part is evacuated. the partition is now removed, and the water expands to fill the entire tank. determine the entropy change of water during this process, if the final pressure in the tank is 40 kpa. use steam tables.