You are testing a new amusement park roller coaster with an empty car with a mass of 125 kg. one part of the track is a vertical loop with a radius of 12.0 m. at the bottom of the loop (point a) the car has a speed of 25.0 m/s and at the top of the loop (point b) it has speed of 8.00 m/s.

Describe different biomes. what are some adaptations that organisms (plants or animals) must have to live in each biome?

Abanked road comer of radius 146 m is to be constructed. if the comer is designed for vehicles moving with a speed of 20.0 m/s, what should the banking angle be, in units of degrees?

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)