A particle with mass 1.53 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.987 m and a duration of 121 s for 78 cycles of oscillation. Find the frequency (f), the speed at the equilibrium position (vmax), the spring constant (k), the potential energy at an endpoint (Umax), the potential energy when the particle is located 60.5% of the amplitude away from the equiliibrium position (U), and the kinetic energy (K), and the speed (v), at the same position.

Students design a model roller-coaster track. they place a rubber ball at the highest point on the track and let it go. the ball rolls along the track pulled only by the force of gravity. eventually, it comes to a stop. which change to the design will result in the ball moving the greatest distance?

Beryl states that insulation with the smallest possible thermal conductivity is best to keep a house warm in winter, but worst for keeping a house cool in summer. sapphire insists the reverse is true: low thermal conductivity is good in the summer, but bad in the winter. which one, if either is correct? a. beryl, because low thermal conductivity results in low heat transfer. b. beryl, because low thermal conductivity results in high heat transfer. d. sapphire, because low thermal conductivity results in high heat transfer. e. neither, because low heat transfer is desirable both in summer and in winter.

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