You are called to the crime scene immediately and you begin your investigation at 2 pm. the first thing you do is take the temperature of the body it is 84.4°f. you immediately walk over to the apartments thermostat and find that has been set at 68°f. the crime scene continues to be investigated wood samples taken and bagged. as everyone is finishing up, you take the temperature of the body again exactly 5 hours later and the temperature reads 79.6°f assume normal body temperature is 98.6°. what was the time of death? use newton’s law if cooling

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)