QuestionCalculate the energy used for a hike of $750 \mathrm{kcal}$ in different energy units. Refer to Section 3.4 for help.

Studdy Solution

STEP 1

Assumptions1. The energy used for the hike is750 kcal. We need to convert this energy to other units

STEP 2

We'll start by converting kcal to cal. We know that1 kcal equals1000 cal.
$Energy_{cal} = Energy_{kcal} \\times1000$

STEP 3

Now, plug in the given value for the energy in kcal to calculate the energy in cal.
$Energy_{cal} =750 \\times1000$

STEP 4

Calculate the energy in cal.
$Energy_{cal} =750 \\times1000 =750,000 \, cal$

STEP 5

Next, we'll convert kcal to Joules. We know that1 kcal equals approximately4184 Joules.
$Energy_{J} = Energy_{kcal} \\times4184$

STEP 6

Now, plug in the given value for the energy in kcal to calculate the energy in Joules.
$Energy_{J} =750 \\times4184$

STEP 7

Calculate the energy in Joules.
$Energy_{J} =750 \\times4184 =3,138,000 \, J$

STEP 8

Finally, we'll convert kcal to BT. We know that1 kcal equals approximately0.00397 BT.
$Energy_{BT} = Energy_{kcal} \\times0.00397$

STEP 9

Now, plug in the given value for the energy in kcal to calculate the energy in BT.
$Energy_{BT} =750 \\times.00397$

STEP 10

Calculate the energy in BT.
$Energy_{BT} =750 \\times0.00397 =2.98 \, BT$ The energy used for the hike is750,000 cal,3,138,000 J, and2.98 BT.

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QuestionCalculate the energy used for a hike of $750 \mathrm{kcal}$ in different energy units. Refer to Section 3.4 for help.

Studdy Solution

STEP 1

Assumptions1. The energy used for the hike is750 kcal. We need to convert this energy to other units

STEP 2

We'll start by converting kcal to cal. We know that1 kcal equals1000 cal.
$Energy_{cal} = Energy_{kcal} \\times1000$

STEP 3

Now, plug in the given value for the energy in kcal to calculate the energy in cal.
$Energy_{cal} =750 \\times1000$

STEP 4

Calculate the energy in cal.
$Energy_{cal} =750 \\times1000 =750,000 \, cal$

STEP 5

Next, we'll convert kcal to Joules. We know that1 kcal equals approximately4184 Joules.
$Energy_{J} = Energy_{kcal} \\times4184$

STEP 6

Now, plug in the given value for the energy in kcal to calculate the energy in Joules.
$Energy_{J} =750 \\times4184$

STEP 7

Calculate the energy in Joules.
$Energy_{J} =750 \\times4184 =3,138,000 \, J$

STEP 8

Finally, we'll convert kcal to BT. We know that1 kcal equals approximately0.00397 BT.
$Energy_{BT} = Energy_{kcal} \\times0.00397$

STEP 9

Now, plug in the given value for the energy in kcal to calculate the energy in BT.
$Energy_{BT} =750 \\times.00397$

STEP 10

Calculate the energy in BT.
$Energy_{BT} =750 \\times0.00397 =2.98 \, BT$ The energy used for the hike is750,000 cal,3,138,000 J, and2.98 BT.

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QuestionCalculate the energy used for a hike of 750kcal750 \mathrm{kcal}750kcal in different energy units. Refer to Section 3.4 for help.

Studdy Solution

STEP 1

Assumptions1. The energy used for the hike is750 kcal. We need to convert this energy to other units

STEP 2

We'll start by converting kcal to cal. We know that1 kcal equals1000 cal.Energycal=Energykcaltimes1000Energy_{cal} = Energy_{kcal} \\times1000Energycal​=Energykcal​times1000

STEP 3

Now, plug in the given value for the energy in kcal to calculate the energy in cal.Energycal=750times1000Energy_{cal} =750 \\times1000Energycal​=750times1000

STEP 4

Calculate the energy in cal.Energycal=750times1000=750,000 calEnergy_{cal} =750 \\times1000 =750,000 \, calEnergycal​=750times1000=750,000cal

STEP 5

Next, we'll convert kcal to Joules. We know that1 kcal equals approximately4184 Joules.EnergyJ=Energykcaltimes4184Energy_{J} = Energy_{kcal} \\times4184EnergyJ​=Energykcal​times4184

STEP 6

Now, plug in the given value for the energy in kcal to calculate the energy in Joules.EnergyJ=750times4184Energy_{J} =750 \\times4184EnergyJ​=750times4184

STEP 7

Calculate the energy in Joules.EnergyJ=750times4184=3,138,000 JEnergy_{J} =750 \\times4184 =3,138,000 \, JEnergyJ​=750times4184=3,138,000J

STEP 8

Finally, we'll convert kcal to BT. We know that1 kcal equals approximately0.00397 BT.EnergyBT=Energykcaltimes0.00397Energy_{BT} = Energy_{kcal} \\times0.00397EnergyBT​=Energykcal​times0.00397

STEP 9

Now, plug in the given value for the energy in kcal to calculate the energy in BT.EnergyBT=750times.00397Energy_{BT} =750 \\times.00397EnergyBT​=750times.00397

STEP 10

Calculate the energy in BT.EnergyBT=750times0.00397=2.98 BTEnergy_{BT} =750 \\times0.00397 =2.98 \, BTEnergyBT​=750times0.00397=2.98BTThe energy used for the hike is750,000 cal,3,138,000 J, and2.98 BT.

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QuestionCalculate the energy used for a hike of $750 \mathrm{kcal}$ in different energy units. Refer to Section 3.4 for help.

We'll start by converting kcal to cal. We know that1 kcal equals1000 cal.
$Energy_{cal} = Energy_{kcal} \\times1000$

Now, plug in the given value for the energy in kcal to calculate the energy in cal.
$Energy_{cal} =750 \\times1000$

Calculate the energy in cal.
$Energy_{cal} =750 \\times1000 =750,000 \, cal$

Next, we'll convert kcal to Joules. We know that1 kcal equals approximately4184 Joules.
$Energy_{J} = Energy_{kcal} \\times4184$

Now, plug in the given value for the energy in kcal to calculate the energy in Joules.
$Energy_{J} =750 \\times4184$

Calculate the energy in Joules.
$Energy_{J} =750 \\times4184 =3,138,000 \, J$

Finally, we'll convert kcal to BT. We know that1 kcal equals approximately0.00397 BT.
$Energy_{BT} = Energy_{kcal} \\times0.00397$

Now, plug in the given value for the energy in kcal to calculate the energy in BT.
$Energy_{BT} =750 \\times.00397$

Calculate the energy in BT.
$Energy_{BT} =750 \\times0.00397 =2.98 \, BT$ The energy used for the hike is750,000 cal,3,138,000 J, and2.98 BT.