An "energy bar" contains 19g of carbohydrates. If the energy bar was his only fuel, how far could a 68kg person walk at 5km/hr ?
To determine how far a person could walk after consuming an energy bar, we first need to know the number of calories contained in the 19g of carbohydrates.
1 gram of carbohydrates contains 4 calories. So,
19g of carbohydrates * 4 calories/g = 76 calories
Next, we need to find out how many calories a 68kg person burns while walking. The general formula for this is:
Calories burned per hour = MET * body weight in kg * 0.0175 (walking has a MET value of 2.8)
For walking at 5 km/hr, the MET value is approximately 3.3. Thus,
Calories burned per hour = 3.3 * 68 * 0.0175 = 3.8922 calories/minute
Next, we need to determine how many minutes the person can walk with the provided calories.
76 calories / 3.8922 calories/minute ≈ 19.52 minutes
Now that we have the minutes, let's find the distance by multiplying that by the walking speed.
Distance = walking speed * time
Distance = 5 km/hr * (19.52 minutes / 60 minutes) ≈ 1.63 km
So, after eating the energy bar, a 68kg person could walk approximately 1.63 km at a speed of 5 km/hr.
To calculate the distance that a person can walk with a given amount of carbohydrates as fuel, we need to know the energy value provided by the carbohydrates. In this case, let's assume that 1 gram of carbohydrates provides 4 kilocalories (kcal) of energy.
First, we need to calculate the total energy provided by the carbohydrates in the energy bar. To do this, we multiply the amount of carbohydrates (19g) by the energy value (4 kcal/g):
Total energy = 19g * 4 kcal/g = 76 kcal
Next, we need to calculate the total energy expenditure for walking. The energy expenditure can be calculated using the following formula:
Energy expenditure (kcal) = body weight (kg) * distance (km) * energy cost (kcal/kg/km)
The energy cost for walking can vary depending on factors such as speed and terrain. A commonly used average energy cost for walking on flat ground is approximately 0.7 kcal/kg/km.
Let's calculate the energy expenditure for walking at 5 km/hr:
Energy expenditure = 68kg * distance * 0.7 kcal/kg/km
Now, we rearrange the equation to solve for the distance:
Distance = Energy expenditure / (68kg * 0.7 kcal/kg/km)
Plugging in the values we have:
Distance = 76 kcal / (68 kg * 0.7 kcal/kg/km)
Simplifying further:
Distance = 76 kcal / 47.6 kcal/km
Distance = 1.595 km
Therefore, a 68 kg person could walk approximately 1.595 km at a speed of 5 km/hr, using the energy from the 19g of carbohydrates in the energy bar as the only fuel.
To determine how far a person can walk using an energy bar as their only fuel, we need to calculate the total energy provided by the carbohydrates in the bar and then divide it by the energy expended while walking. Here's how you can do it:
Step 1: Calculate the total energy provided by the carbohydrates in the energy bar.
The energy content of carbohydrates is approximately 4 calories per gram. To convert this to joules, we multiply by 4.184 J/calorie.
Energy in joules = (19 g) * (4.184 J/calorie) * (4 calories/gram)
Step 2: Calculate the energy expended while walking.
The formula to calculate energy expenditure during exercise is:
Energy (calories) = Body weight (kg) * Exercise intensity (MET) * Duration (hours)
To calculate the energy expenditure during walking, we need to know the MET value for walking at 5 km/hr. The MET value for walking is usually around 3.5 METs (Metabolic Equivalent Task), which represents the energy expenditure compared to rest.
Energy expenditure (calories) = (68 kg) * (3.5 METs) * (1 hour)
Step 3: Convert energy expenditure to joules.
To convert calories to joules, we multiply by 4.184 J/calorie.
Energy expenditure (joules) = Energy expenditure (calories) * 4.184 J/calorie
Step 4: Determine the distance the person can walk.
The distance traveled can be calculated using the following equation:
Distance (km) = Energy in joules / Energy expenditure in joules per kilometer
Distance (km) = Energy from the bar / Energy expenditure per kilometer
Now you can plug in the values and calculate the distance:
Distance (km) = Energy in joules / (Energy expenditure (joules) / 5 km)
I will now calculate the result for you.