Math

QuestionConvert 780kcal780 \mathrm{kcal} to kilojoules for energy used during a hike.

Studdy Solution

STEP 1

Assumptions1. The energy used for the hike is780 kcal. We need to convert this energy to kilojoules3. The conversion factor from kcal to kJ is1 kcal =4.184 kJ

STEP 2

We can calculate the energy used in kilojoules by multiplying the energy in kcal by the conversion factor.
EnergykJ=EnergykcaltimesConversionfactorEnergy_{kJ} = Energy_{kcal} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in kilojoules.
EnergykJ=780kcaltimes.184kJ/kcalEnergy_{kJ} =780\, kcal \\times.184\, kJ/kcal

STEP 4

Calculate the energy used for the hike in kilojoules.
EnergykJ=780kcaltimes4.184kJ/kcal=3263.52kJEnergy_{kJ} =780\, kcal \\times4.184\, kJ/kcal =3263.52\, kJThe person used3263.52 kJ of energy for the hike.

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