Buffy the Vampire Slayer is buffing up her 0.53 meter long arms by bench pressing. In 35 seconds she can lift 38 kilograms of mass 23 times. How powerful are Buffy's arms?
To determine the power of Buffy's arms, we need to calculate the work done in lifting the weights and then divide it by the time taken. The formula for work is given by:
Work = Force × Distance
Now, in this case, the force exerted is the weight of the mass being lifted, and the distance is the total distance traveled by Buffy's arms during the exercise.
1. Calculate the force exerted:
The force exerted is equal to the weight, which is given as 38 kilograms. Since the acceleration due to gravity is approximately 9.8 m/s^2, we can find the force using the formula:
Force = Mass × Acceleration due to gravity
Force = 38 kg × 9.8 m/s^2
2. Calculate the distance traveled:
The distance traveled is the total distance covered during 23 repetitions. Since each repetition involves moving the weight over a certain distance, we need to calculate the total distance traveled during one repetition and then multiply it by the number of repetitions.
Let's assume Buffy lifts the weight over half the length of her arms each time (0.53 m / 2 = 0.265 m). The total distance traveled in one repetition is twice this value, so:
Distance per repetition = 2 × 0.265 m
Total distance traveled = Distance per repetition × Number of repetitions
3. Calculate the work done:
Now, we can calculate the work done by multiplying the force exerted by the distance traveled:
Work = Force × Distance
4. Calculate the power:
Finally, we can calculate the power by dividing the work done by the time taken:
Power = Work / Time
By plugging the values into the formulas mentioned above, we can determine the power of Buffy's arms.