At the gym, a woman lifts 40 kilograms of weights on the leg press machine. It takes her 0.5 seconds to raise the weights a vertical distance of 0.4 meters.
How much power does the woman generate when lifting the weights?
To calculate the power generated by the woman when lifting the weights, we can use the equation:
Power = Work / Time
First, let's calculate the work done by the woman. Work is defined as the force applied over a distance:
Work = Force × Distance
The force applied can be calculated using Newton's second law of motion:
Force = Mass × Acceleration
In this case, the mass being lifted is 40 kilograms, and the vertical distance raised is 0.4 meters. Acceleration due to gravity is approximately 9.8 m/s².
Force = 40 kg × 9.8 m/s²
Next, we calculate the work done:
Work = Force × Distance
= (40 kg × 9.8 m/s²) × 0.4 m
Now, let's calculate the power generated. Power is the amount of work done per unit of time:
Power = Work / Time
= (40 kg × 9.8 m/s² × 0.4 m) / 0.5 s
Calculating this expression will give us the power generated by the woman when lifting the weights.