You sit atop of a 500 m hill on your bike. The combined mass of you and your bike is 75 kg. How much potential energy have you gained atop of the hill? If you ride quickly down the hill without braking but losing half of the potential energy due to air resistance. How fast will you be traveling at the bottom of the hill? Emily is testing her baby's bath water and finds that it is too cold, so she adds some hot water from a kettle on the stove. If Emily adds 2.00 kg of water at 80.0C to 20.0 kg of bath water at 27.0C, what is the final temperature of the bath water