Using the description provided for obtaining elastic constants from the speed of sound in various directions of a cubic crystal, in Chapter 3 section Elastic Waves in Cubic Crystals. Determine the three independent elastic constants of diamond, namely, C11, C12, and C44 with the following data obtained from experiments. Data: The density of diamond is 3.52 g/cm3 The longitudinal and transverse speeds of sound along the [100] direction are 17.6 and 12.8 km/s And The longitudinal speed of sound in the direction [111] is 18.6 km/s. Calculate the elastic constants in gigapascal (GPa).

Determine the age of a fossil if it had only one eighth of its original carbon-14 content remaining?

For this car, predict the shape of a graph that shows distance (x) versus time (t). note that time is the independent variable and will be on the bottom axis. need asap

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)