if a person weighing 550 newtons takes 15 seconds to walk up the staircase that is 9.5 meters high, what is the power needed to perform the action
To calculate the power needed to perform the action, you can use the formula:
Power = Work / Time
First, let's find the work done to climb the staircase. Work is defined as the force applied over a distance. In this case, the force is the weight of the person, and the distance is the height of the staircase.
Work = Force * Distance
In this case, the force is the weight of the person, which is given as 550 newtons, and the distance is the height of the staircase, which is 9.5 meters.
Work = 550 N * 9.5 m
Now we can find the work done:
Work = 5225 Joules
Next, we can calculate the power by dividing the work done by the time taken:
Power = Work / Time
In this case, the work done is 5225 Joules, and the time taken to climb the staircase is 15 seconds.
Power = 5225 J / 15 s
Finally, let's calculate the power needed:
Power = 348.33 Watts
Therefore, the power needed to perform the action is approximately 348.33 Watts.