Final answer:
To use 5 watts of power while climbing stairs, it takes 10 seconds to complete the work of 50 joules. The specific speed cannot be determined without knowing the height of the stairs, since speed is calculated by dividing the distance (or height in this case) by time.
Step-by-step explanation:
Finding the Speed to Use 5 Watts of Power Climbing Stairs: To determine how fast you need to climb a set of stairs to use 5 watts of power, we start by understanding that power is the rate at which work is done. Thus, Power (P) is equal to Work (W) divided by Time (T), or P = W/T. Given that the work done to climb the stairs is 50 joules, and we want to find the time it would take to exert 5 watts of power.
So, we have T = 50 J / 5 W = 10 seconds. This means that to use 5 watts of power, you would have to do the work in 10 seconds. Now, assuming that the distance covered while climbing the stairs, which is not given in the question, is equivalent to the displacement in height, we would need to know the height to calculate the speed using the formula Speed = Distance/Time. However, since the height is not provided, we cannot calculate the exact speed and therefore cannot determine whether A. 0.1 m/s, B. 1 m/s, C. 5 m/s, or D. 10 m/s is the correct answer. Instead, if we had the height of the stairs, the speed could be calculated as follows:
But without the height, the answer remains indeterminate given the provided information.