The number of times that the weight must be lifted is 9 times.
The term calories refers to the energy value that is derived from food. Following the principle of energy conversion, we know that the energy in the food is converted to the work done as the weight is lifted.
Since work done = mgh = 30.0-kg * 9.8ms^2 * 0.550 m = 161.7 J or 38.6 Cal
Thus, for the number of times the weight must be lifted;
38.6 n = 3.35 * 10^2
n = 3.35 * 10^2/38.6
n = 9 times
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