(normalized oscillator dynamics) consider a damped spring–mass system with dynamics mq¨+ cq˙ + kq = f. let ω0 = p k/m be the natural frequency and ζ = c/(2√km) be the damping ratio. a) show that by rescaling the equations, we can write the dynamics in the form q¨+ 2ζω0q˙ + ω2 0q = ω2 0u, (3.39) where u = f/k. this form of the dynamics is that of a linear oscillator with natural frequency ω0 and damping ratio ζ. b) show that the system can be further normalized and written in the form

Will give brainliest! which statement best describes the difference between strong nuclear forces and weak nuclear forces? weak nuclear forces are involved when certain types of atoms break down. strong nuclear forces are responsible for holding atoms' nucleus together. weak nuclear forces hold bonds between atoms together. strong nuclear forces hold together the nucleus of an atom. strong nuclear bonds prevent atoms from falling apart. weak nuclear bonds prevent compounds from falling apart. strong nuclear forces are involved in breaking electrons from their shells. weak nuclear forces hold protons in the nucleus.

Object a has a length of 3 cm, a width of 2 cm, and a height of 4 cm. object b is dropped into a graduated cylinder. it displaces 19 ml of water. the volume of object a is: a: greater than the volume of object b b: less than the volume of object b c: equal to the volume of object b

Daughter element the new element produced along with a decay particle in a nuclear transmutation 2. half-life the substance that decays in a nuclear transmutation 3. parent element the change of one chemical element into another by nuclear decay or radioactive bombardment 4. transmutation the time required for the decay of one-half of the atoms in a sample of radioactive material