Integrated Science
7th Edition
ISBN: 9780077862602
Author: Tillery, Bill W.
Publisher: Mcgraw-hill,
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Chapter 4, Problem 5PEA
To determine
The number of vertical climbs required to use all the energy.
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9. A physics student decides to “burn off” some Calories by climbing a ladder. As the ladder is ascended, some food energy is being converted to gravitational potential energy. (a) If the student has a mass of 75 kg, how tall a ladder is needed to burn off one Calorie (4190 J)? (b) Conversely, if the student only has a 3.5 m ladder, how much additional mass must he carry up with him to burn off the Calorie?
A 55-kg woman cheats on her diet and eats a 540-Calorie (540 kcal) jelly doughnut for breakfast. (a) How many joules of energy are the equivalent of woman climb to perform an amount of mechanical work equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm. (c) If the human body is only 25% efficient in converting chemical energy to mechanical energy, how many stairs must the woman climb to work offher breakfast?
A sleeping 68 kg man has a metabolic power of 75 W .
How many Calories does he burn during an 8.0 hour sleep?
Express your answer using two significant figures.
Chapter 4 Solutions
Integrated Science
Ch. 4.1 - Prob. 1SCCh. 4.2 - Using the absolute temperature scale, the freezing...Ch. 4.3 - Prob. 3SCCh. 4.3 - Prob. 4SCCh. 4.3 - Prob. 5SCCh. 4.3 - Prob. 6SCCh. 4.3 - Prob. 7SCCh. 4.3 - Prob. 8SCCh. 4.4 - Prob. 9SCCh. 4.4 - Prob. 10SC
Ch. 4.4 - Prob. 11SCCh. 4.4 - Compared to cooler air, warm air can hold a. more...Ch. 4 - What is temperature? What is heat?Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Why is cooler air found in low valleys on calm...Ch. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - The relative humidity increases almost every...Ch. 4 - Prob. 13CQCh. 4 - Prob. 14CQCh. 4 - Prob. 15CQCh. 4 - Prob. 16CQCh. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - Prob. 1PEACh. 4 - Prob. 2PEACh. 4 - Prob. 3PEACh. 4 - Prob. 4PEACh. 4 - Prob. 5PEACh. 4 - Prob. 6PEACh. 4 - Prob. 7PEACh. 4 - Prob. 8PEACh. 4 - Prob. 9PEACh. 4 - Prob. 10PEACh. 4 - Prob. 11PEACh. 4 - Prob. 12PEACh. 4 - Prob. 1PEBCh. 4 - Prob. 2PEBCh. 4 - Prob. 3PEBCh. 4 - Prob. 4PEBCh. 4 - A 60.0 kg person will need to climb a 10.0 m...Ch. 4 - Prob. 6PEBCh. 4 - Prob. 7PEBCh. 4 - Prob. 8PEBCh. 4 - Prob. 9PEBCh. 4 - Prob. 10PEBCh. 4 - Prob. 11PEBCh. 4 - Prob. 12PEB
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- (a) How long will the energy in a 1470kJ (350kcal) cup of yogurt last in a woman doing work at the rate of 150 W with an efficiency of 20.0% (such as in leisurely climbing stairs)? (b) Does the time found in part (a) imply that it is easy to consume more food energy than you can reasonably expect to work off with exercise?arrow_forwardA certain steel railroad rails 13 yd in length and weighs 70.0 lb/yd How much thermal energy is required to increase the length of such a rail by 3.0 mm? .Note: Assume the steel has the same specific heal as iron.arrow_forward(a) What is the average metabolic rate in watts of a man who metabolizes 10,500 kJ of feed energy in one day? (b) What is the maximum amount of work in joules he can do without breaking down fat, assuming a maximum eficiency of 20.0%? (c) Compare his work output with the daily output of a 187W (0.250horsepower) motor.arrow_forward
- Energy that is not utilized for work or heat transfer in the human body is converted to the chemical energy of body fat, which contains about 39 kJ/g. How many grams of fat will you gain if you eat 2450 kcal one day and do nothing but sit relaxed for 16 hours and sleep for the other 8 hours. (Assume sleeping burns 1.2 kcal/min, while sitting relaxed burns 1.7 kcal.min)arrow_forwardOne ounce of a well-known breakfast cereal contains 99 Calories (1 food Calorie = 4186 J). If 2.4% of this energy could be converted by a weight lifter's body into work done in lifting a barbell, what is the heaviest barbell that could be lifted a distance of 2.0 m?arrow_forwardIn order to keep a basement from flooding, it is necessary to pump 285 kg of water each minute from the basement up to a height of 3.28 m (and then outside). If 18.6% of the total energy used by the pump is wasted as heat, what is the minimum wattage pump that is required to keep the basement from flooding?arrow_forward
- A 60-kg hiker wishes to climb to the summit of Mt. Ogden, an ascent of 5000 vertical feet (1500 m). a.) Assuming that she is 25% efficient at converting chemical energy from food into mechanical work, and that essentially all the mechanical work is used to climb vertically, roughly how many bowls of corn flakes (standard serving size 1 ounce, 100 kilocalories) should the hiker eat before setting out?(b) As the hiker climbs the mountain, three-quarters of the energy from the corn flakes is converted to thermal energy. Ifthere were no way to dissipate this energy, by how many degrees would her body temperature increase?(c) In fact, the extra energy does not warm the hiker's body significantly; instead, it goes (mostly) into evaporating water from her skin. How many liters of water should she drink during the hike to replace the lost fluids? (At 25°C, a reasonable temperature to assume, the latent heat of vaporization of water is 580 cal/g, 8% more than at 100°C.)arrow_forwardAfter eating a 200 g pottle of yoghurt, a person decides to go for a run to burn off the extra energy. The yoghurt provides 5.4 MJ kg−1, and he is able to raise his metabolic rate to 220W while running. How long does he have to run?arrow_forwardA 75.1 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 564 (food) Calories. 2 How high must the person climb? The acceleration due to gravity is 9.8 m/s² and 1 food Calorie is 10³ calories. Answer in units of km.arrow_forward
- A high jumper of mass 60kg consumes a meal of 3.00 x 10 ³ kcal prior to a jump. If 3.3% of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?arrow_forwardSimilar to the previous problem, we heat about a cup (238 g) of milk (we’ll treat it like water, with a specific heat of 4186 J/kg °C) from refrigerator temperature (3.2 °C) to a comfortable drinking temperature (53.9 °C) in order to make a cup of hot chocolate. First, find the energy required to heat this milk. Next, imagine giving a 1,500 kg truck this same amount of kinetic energy. What speed (in m/s) will the truck be travelling?arrow_forwardYou use a quantity of fuel with a total energy content of 19.02 MJ to power an engine. If the average output of the engine over 2 hours was 2.12 kW, what is the efficiency of the engine?arrow_forward
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Work-Energy Theorem | Physics Animation; Author: EarthPen;https://www.youtube.com/watch?v=GSTW7Mlaoas;License: Standard YouTube License, CC-BY