The Amazing Power of a 64-Year-Old Woman!

How much power does a 64-year-old woman exert to climb 15 cm steps in 27 seconds if she weighs 54 kg?

a. 80W

b. 90W

c. 95W

Answer:

The power exerted by a 64-year-old woman climbing 30 15-cm steps in 27 seconds, if she weighs 54 kg, is approximately 88W.

The subject of this question is Physics, specifically the calculation of power in relation to work and time. Power (P) is defined as work (W) divided by time (T), or P=W/T. In this case, the work done is equivalent to the force exerted by the woman, which equals her weight multiplied by the height she climbed.

We calculate her weight force in newtons by multiplying her mass by gravity (9.8 m/s^2), which equals 529.2 N. Then, the total height climbed is 15cm * 30 steps, or 4.5m. Therefore, the work done equals 529.2 N * 4.5m, or 2381.4 joules.

Finally, we divide this by the time it took, 27 seconds, to find the power, which is approximately 88W. Therefore, none of the given options are correct.