Please explain each response to each prompt using physics terms/ideas/formulas/proofs. I would like to check my own work. Please NO REPOSTS of other work. (no other references are needed for this problem)

Calories. A food calorie (or kilocalorie, the only type we'll use in this problem) is a unit of energy equal to 4,184 J. A grain of protein or carbohydrate has about 4calorias of food energy. Fat has about 9 calories per gram. Alcohol has about 7cal/ g. (a) How much work do you do against gravity to climb up four stories of stairs (a story is about 3.1 min residential buildings)? Give your answer in food calories. How many calories per step (8 in per step)? Assume m = 60 kg. Keep in mind that the human body is not very efcient, and it uses much more energy to actually move around than the work done against gravity. (b) What is the equivalent energy of climbing four stories in kilowatt-hours (kWh), a common unit of energy in home and car batteries? A watt-hour is the energy used by a 1W device for one hour. (on) How much gasoline contains the same amount of energy to climb four stories of stairs? Burning gasoline releases about 11 calories per gram