Answer :
The average power generated by the mountain climber is 39.1 W. The correct answer is Option A.
The average power generated by a 70.0 kg mountain climber who climbs a summit of height 325m in 95.0 minutes can be calculated using the following steps:
First, we need to determine the work done by the mountain climber.
Work done = Force x Distance moved along the force
Since the mountain climber moves in a vertically upward direction, the force acting on the climber will be equal to the weight of the climber.
Force = Weight of climber= mass x acceleration due to gravity= 70.0 kg x 9.81 m/s^2 = 686.7 N
Next, we need to determine the distance moved by the climber. Here, the distance moved is equal to the height of the summit.
Distance moved = Height of summit = 325 m
The work done by the climber is given by:
Work done = Force x Distance moved= 686.7 N x 325 m= 223014 J
Lastly, we can determine the average power generated by the climber using the formula:
Average power = Work done ÷ Time taken= 223014 J ÷ (95.0 min x 60 s/min)= 39.1 W
Therefore, the average power generated by the mountain climber is 39.1 W. Hence, option (a) 39.1W is the correct answer.
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