A climber pulls herself 8 meters upwards with a force of 150 Newtons. If it takes her 16 seconds to cover the 8 meters, how much power is she using?
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The work done is force x distance
The power used is the rate of doing work, i.e. work/time
Note that the word for the unit of force, newton, has a lower case 'n' whereas the symbol has a capital 'N'.
power=work/time=force*distance/time
To calculate the power, we need to use the formula: Power = (Work Done) / (Time).
First, we need to find the work done by the climber. The work done is equal to the force multiplied by the distance moved. In this case, the force is 150 Newtons and the distance moved is 8 meters. Therefore, the work done is:
Work Done = Force × Distance
Work Done = 150 N × 8 m
Work Done = 1200 Joules
Now, we can substitute the values into the formula to find the power:
Power = Work Done / Time
Power = 1200 J / 16 s
Power = 75 Watts
Therefore, the climber is using 75 Watts of power.