A student with a weight of 640 N runs up a staircase to a floor that is 6.1 m higher than her starting point in 7.1 s. How many watts of power will she generate
Question
A student with a weight of 640 N runs up a staircase to a floor that is 6.1 m higher than her starting point in 7.1 s. How many watts of power will she generate
Solution
To solve this problem, we need to use the formula for power which is work done divided by time taken.
Step 1: Calculate the work done Work done is equal to the force applied multiplied by the distance over which it is applied. In this case, the force is the weight of the student and the distance is the height of the staircase.
Work done = Force x Distance Work done = 640 N x 6.1 m Work done = 3904 Joules
Step 2: Calculate the power Power is equal to the work done divided by the time taken.
Power = Work done / Time taken Power = 3904 Joules / 7.1 s Power = 549.58 Watts
So, the student will generate approximately 550 Watts of power.
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