A hiker climbs a hill 300m high and weighs 50kg. Calculate the power if she takes 1 hour to climb the hill
gain in potential energy = m g h = 50 * 9.81 * 300 Joules
power in watts = joules / second = 50 * 9.81 * 300 Joules / 3600 seconds
Joe please do not confuse people.
To calculate the power, you need to use the formula:
Power = Work / Time
First, let's calculate the work done by the hiker. The work is given by the product of the force applied and the distance moved.
The force here is equal to the weight of the hiker, which can be calculated using the formula:
Force = Mass * Gravitational acceleration
The mass of the hiker is given as 50kg, and the gravitational acceleration is approximately 9.8 m/s².
Force = 50kg * 9.8 m/s² = 490 N
Now, we can calculate the work done by the hiker using the formula:
Work = Force * Distance
The distance here is the height of the hill, which is 300m.
Work = 490 N * 300m = 147,000 Joules
Finally, we can calculate the power using the formula:
Power = Work / Time
Given that the hiker takes 1 hour to climb the hill, we need to convert the time to seconds by multiplying it by 3600 (60 minutes x 60 seconds).
Power = 147,000 Joules / (1 hour x 3600 seconds/hour) = 147,000 Joules / 3600 seconds = 40.83 Watts
Therefore, the power required for the hiker to climb the hill in 1 hour is approximately 40.83 Watts.