How many 20 kg dumbbells can be lifted 1 m with the energy obtained from one hot dog (290 Cal)?

To determine how many 20 kg dumbbells can be lifted by the energy obtained from one hot dog, we need to convert the energy from calories to joules and calculate the work done in lifting the dumbbells.

First, let's convert the calories from the hot dog to joules. One dietary Calorie (Cal) is equivalent to approximately 4,184 joules. Therefore, for a hot dog that provides 290 Cal, the conversion is:

290 Cal × 4,184 joules/Cal = 1,214,560 joules.

Next, we calculate the work done in lifting one 20 kg dumbbell to a height of 1 meter. The work done against gravity is given by the formula:

Work = mass × gravitational acceleration × height.

Here, the mass of a single dumbbell is 20 kg, gravitational acceleration is approximately 9.81 m/s², and the height is 1 m. Thus, the work done in lifting one dumbbell is:

Work = 20 kg × 9.81 m/s² × 1 m = 196.2 joules.

Now, to find out how many dumbbells can be lifted with the energy from the hot dog, we divide the total