Final answer:
To find the time it takes for the bodybuilder to lift the set of weights using a given amount of power, calculate the work done using W = mgh, and then calculate the time using t = W/P with the given mass, height, and power.
Step-by-step explanation:
The question involves calculating the time a bodybuilder takes to lift a set of weights using a given amount of power. Using the formula power = work/time or P = W/t, where work W is the product of the force exerted on the weights (which equals their weight due to gravity) and the distance they are moved. We can calculate the work done as W = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s2), and h is the height in meters. The power P is given in watts. To find the time t, you rearrange the formula to t = W/P.
The mass of the weights is 31.7 kg, the height they are lifted is 1.58 m, and the power is 700 W. First, calculate the work done: W = mgh = 31.7 kg * 9.8 m/s2 * 1.58 m. Then, use this to find the time: t = W/P. Plugging the values into the formula will give the time it takes for the bodybuilder to lift the weights.