You overindulged on a delicious dessert, so you plan to work off the extra calor

Question

You overindulged on a delicious dessert, so you plan to work off the extra calories at the gym. To accomplish this, you decide to do a series of arm raises holding a 6.0 weight in one hand. The distance from your elbow to the weight is 38 , and in each arm raise you start with your arm horizontal and pivot it until it is vertical. Assume that the weight of your arm is small enough compared with the weight you are lifting that you can ignore it. As is typical, your muscles are 20 in converting the food energy they use up into mechanical energy, with the rest going into heat.

If your dessert contained 370 food calories, how many arm raises must you do to work off these calories?

Express your answer using two significant figures.

Explanation / Answer

Work done each time on the mass = 5 . 9.8 . 0.35 = 17.15 J Total work done each time = 17.15 / 0.2 = 85.75 J 1 Food calorie = 4186 J Number of lifts needed = 4186 . 380 / 85.75 = 17,086 ( 17100 )

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