Table 7.1 Energy of Various Objects and Phenomena Object/phenomenon Energy in joules Big Bang 1068 Energy released in a supernova 1044 Fusion of all the hydrogen in Earth's oceans 1034 Annual world energy use 4x1020 Large fusion bomb (9 megaton) 3.8×1016 1 kg hydrogen (fusion to helium) 6.4x1014 1 kg uranium (nuclear fission) 8.0×1013 Hiroshima-size fission bomb (10 kiloton) | 4.2x1013 90,000-ton aircraft carrier at 30 knots 1.1x1010 1 barrel crude oil 5.9x10° 1 ton TNT 4.2x10° 1 gallon of gasoline 1.2x108 Daily home electricity use (developed countries) 7x107 Daily adult food intake (recommended) 1.2x107 |1000-kg car at 90 km/h 3.1x105 1 g fat (9.3 kcal) 3.9×104 ATP hydrolysis reaction 3.2x104 1 g carbohydrate (4.1 kcal) 1.7x104 1 g protein (4.1 kcal) 1.7×104 Tennis ball at 100 km/h 22 Mosquito (10- g at 0.5 m/s) 1.3x10-6 Single electron in a TV tube beam 4.0x10¬15 Energy to break one DNA strand 10-19

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Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 2.0 gal of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (See Table for the energy content of gasoline.) (a) What is the magnitude of the force exerted to keep the car moving at constant speed? (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s?

Table 7.1 Energy of Various Objects and Phenomena
Object/phenomenon
Energy in joules
Big Bang
1068
Energy released in a supernova
1044
Fusion of all the hydrogen in Earth's oceans
1034
Annual world energy use
4x1020
Large fusion bomb (9 megaton)
3.8×1016
1 kg hydrogen (fusion to helium)
6.4x1014
1 kg uranium (nuclear fission)
8.0×1013
Hiroshima-size fission bomb (10 kiloton)
| 4.2x1013
90,000-ton aircraft carrier at 30 knots
1.1x1010
1 barrel crude oil
5.9x10°
Transcribed Image Text:Table 7.1 Energy of Various Objects and Phenomena Object/phenomenon Energy in joules Big Bang 1068 Energy released in a supernova 1044 Fusion of all the hydrogen in Earth's oceans 1034 Annual world energy use 4x1020 Large fusion bomb (9 megaton) 3.8×1016 1 kg hydrogen (fusion to helium) 6.4x1014 1 kg uranium (nuclear fission) 8.0×1013 Hiroshima-size fission bomb (10 kiloton) | 4.2x1013 90,000-ton aircraft carrier at 30 knots 1.1x1010 1 barrel crude oil 5.9x10°
1 ton TNT
4.2x10°
1 gallon of gasoline
1.2x108
Daily home electricity use (developed countries) 7x107
Daily adult food intake (recommended)
1.2x107
|1000-kg car at 90 km/h
3.1x105
1 g fat (9.3 kcal)
3.9×104
ATP hydrolysis reaction
3.2x104
1 g carbohydrate (4.1 kcal)
1.7x104
1 g protein (4.1 kcal)
1.7×104
Tennis ball at 100 km/h
22
Mosquito (10- g at 0.5 m/s)
1.3x10-6
Single electron in a TV tube beam
4.0x10¬15
Energy to break one DNA strand
10-19
Transcribed Image Text:1 ton TNT 4.2x10° 1 gallon of gasoline 1.2x108 Daily home electricity use (developed countries) 7x107 Daily adult food intake (recommended) 1.2x107 |1000-kg car at 90 km/h 3.1x105 1 g fat (9.3 kcal) 3.9×104 ATP hydrolysis reaction 3.2x104 1 g carbohydrate (4.1 kcal) 1.7x104 1 g protein (4.1 kcal) 1.7×104 Tennis ball at 100 km/h 22 Mosquito (10- g at 0.5 m/s) 1.3x10-6 Single electron in a TV tube beam 4.0x10¬15 Energy to break one DNA strand 10-19
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