Answer :
The weightlifter develops a power of 1051.84 watts or 1.43 horsepower in the snatch lift.
To calculate the power developed by the weightlifter, we can use the formula:
Power (in watts) = Work / Time
First, let's calculate the work done in the snatch. Work is given by the formula:
Work = Force × Distance
The force exerted can be calculated by multiplying the mass lifted (116 kg) by the acceleration due to gravity (9.8 m/s²):
Force = 116 kg × 9.8 m/s²
= 1136.8 N
The distance lifted is the height reached, which is given as 1.85 meters.
Work = 1136.8 N × 1.85 m
= 2103.68 J
Since the time taken is 2 seconds, we can substitute the values into the power formula:
Power = 2103.68 J / 2 s
= 1051.84 W
To convert the power into horsepower, we divide it by the conversion factor: 1 horsepower is equal to 735 watts.
Power (in horsepower) = 1051.84 W / 735 W/hp
= 1.43 hp
Therefore, the power developed by the weightlifter in the snatch is approximately 1051.84 watts or 1.43 horsepower.
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