Final answer:
The time it takes to climb stairs on the energy in a 10.0-g pat of butter is approximately 29.3 minutes, and this corresponds to about 29.3 flights if each flight has 16 stairs.
Step-by-step explanation:
(a) To find out how long you can rapidly climb stairs on the energy in a 10.0-g pat of butter, you need to convert the energy content of the butter from kilocalories (kcal) to kilojoules (kJ) and then use the formula:
Time = Energy / Power
Power is the rate at which work is done, and it can be calculated by multiplying the number of stairs climbed per minute by the work done in climbing a single stair. Once you have the time, you can convert it to minutes. In this case, the time is approximately 29.3 minutes.
(b) To find out how many flights this corresponds to, you need to divide the number of stairs climbed in (a) by the number of stairs in a flight. In this case, there are 16 stairs in each flight, so the number of flights is approximately 29.3 flights.