Sarah attempts to do the popular physics trick of swinging a pail of water around in a vertical circle fast enough so the water doesn't spill out when the pail is upside down. if her arm is 0.516 meters long, what is the minimum speed with which she can swing the pail so the water does not spill out at the top of the path? (assume that you may neglect the length of the pail)

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.

The vapour pressure of benzene is 53.3 kpa at 60.6 °c, but it fell to 51.5 kpa when 19.0 g of a non-volatile organic compound was dissolved in 500 g of benzene. calculate the molar mass of the compound.

As the distance from a magnet increases, what happens to the magnet force?