Na factory, various metal pieces are forged and then plunged into a cool liquid to quickly cool the metal. assume you have a cadmium rod, with a specific heat of 0.231 joules per gram degrees celsius / (g °c)]. the metal pieces vary in mass, and are produced at a temperature of 572 degrees fahrenheit [°f], the ideal process lowers the temperature of the material to 122 degrees fahrenheit [°f]. the liquid used to cool the metal is glycerol. at the end of the process, the glycerol and the metal will be at the same temperature. the properties of glycerol are listed below material property value [units]specific heat 2400 j/(kg k) specific gravity 1.261initial temperature 20°c determine the volume of fluid, in units of gallons [gal], needed to cool a 6.5-kilogranm [kg] rod of cadmium.

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?

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