A weightlifter lifts 116 kg in a snatch and 141 kg in a clean and jerk. In the snatch, the lifting time was 2 seconds at a height of 1.85 meters. Calculate the power developed in watts and in horsepower.

Data: [tex]1 \, \text{HP} = 735 \, \text{W}[/tex]

Question

High School

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Answer :

jhasagar3210 jhasagar3210 · Answer 1 · 2024-10-15T16:45:05-04:00

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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