QuestionA person expends $780 \mathrm{kcal}$ during a hike. Convert this energy to joules, rounding to two significant figures.

Studdy Solution

STEP 1

Assumptions1. The energy used is780 kcal. We need to convert this energy to joules3. The conversion factor from kcal to joules is1 kcal =4184 joules

STEP 2

We can calculate the energy in joules by multiplying the energy in kcal by the conversion factor.
$Energy_{Joules} = Energy_{kcal} \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times418\, J/kcal$

STEP 4

Calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times4184\, J/kcal =3263520\, J$

STEP 5

The problem asks for the answer to two significant figures. To do this, we round the answer to the nearest hundred thousand, as this is the place of the second significant figure in our answer.
Energy_{Joules} =3.3 \\times10^\, JThe person used 3.3 \times10^ joules of energy on the long hike.

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QuestionA person expends $780 \mathrm{kcal}$ during a hike. Convert this energy to joules, rounding to two significant figures.

Studdy Solution

STEP 1

Assumptions1. The energy used is780 kcal. We need to convert this energy to joules3. The conversion factor from kcal to joules is1 kcal =4184 joules

STEP 2

We can calculate the energy in joules by multiplying the energy in kcal by the conversion factor.
$Energy_{Joules} = Energy_{kcal} \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times418\, J/kcal$

STEP 4

Calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times4184\, J/kcal =3263520\, J$

STEP 5

The problem asks for the answer to two significant figures. To do this, we round the answer to the nearest hundred thousand, as this is the place of the second significant figure in our answer.
Energy_{Joules} =3.3 \\times10^\, JThe person used 3.3 \times10^ joules of energy on the long hike.

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QuestionA person expends 780kcal780 \mathrm{kcal}780kcal during a hike. Convert this energy to joules, rounding to two significant figures.

Studdy Solution

STEP 1

Assumptions1. The energy used is780 kcal. We need to convert this energy to joules3. The conversion factor from kcal to joules is1 kcal =4184 joules

STEP 2

We can calculate the energy in joules by multiplying the energy in kcal by the conversion factor.EnergyJoules=EnergykcaltimesConversion factorEnergy_{Joules} = Energy_{kcal} \\times Conversion\, factorEnergyJoules​=Energykcal​timesConversionfactor

STEP 3

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in joules.EnergyJoules=780 kcaltimes418 J/kcalEnergy_{Joules} =780\, kcal \\times418\, J/kcalEnergyJoules​=780kcaltimes418J/kcal

STEP 4

Calculate the energy in joules.EnergyJoules=780 kcaltimes4184 J/kcal=3263520 JEnergy_{Joules} =780\, kcal \\times4184\, J/kcal =3263520\, JEnergyJoules​=780kcaltimes4184J/kcal=3263520J

STEP 5

The problem asks for the answer to two significant figures. To do this, we round the answer to the nearest hundred thousand, as this is the place of the second significant figure in our answer.Energy_{Joules} =3.3 \\times10^\, JThe person used 3.3 \times10^ joules of energy on the long hike.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA person expends $780 \mathrm{kcal}$ during a hike. Convert this energy to joules, rounding to two significant figures.

We can calculate the energy in joules by multiplying the energy in kcal by the conversion factor.
$Energy_{Joules} = Energy_{kcal} \\times Conversion\, factor$

Now, plug in the given values for the energy in kcal and the conversion factor to calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times418\, J/kcal$

Calculate the energy in joules.
$Energy_{Joules} =780\, kcal \\times4184\, J/kcal =3263520\, J$

The problem asks for the answer to two significant figures. To do this, we round the answer to the nearest hundred thousand, as this is the place of the second significant figure in our answer.
Energy_{Joules} =3.3 \\times10^\, JThe person used 3.3 \times10^ joules of energy on the long hike.