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Chapter 7: Q28 PE (page 261)

If the energy in fusion bombs were used to supply the energy needs of the world, how many of the 9-megaton variety would be needed for a year鈥檚 supply of energy (using data from Table 7.1)? This is not as farfetched as it may sound鈥攖here are thousands of nuclear bombs, and their energy can be trapped in underground explosions and converted to electricity, as natural geothermal energy is.

Short Answer

Expert verified

Number of 9-megaton fusion bomb required for a year鈥檚 supply of energy is 10526.

Step by step solution

01

Definition of Concepts

Conservation of energy:An isolated system's total energy is always conserved. In other words, the energy neither be not created nor be destroyed; it can be only transformed from one form to another.

02

Number of 9-megaton fusion bomb required for a year’s supply of energy

The energy released by 9-megaton fusion bomb can be trapped in underground explosions and converted to electrical energy.

The energy release of 9-megaton fusion bomb is,

Ebomb=3.8脳1016J

Annual consumption of energy in the world is,

Econsumption=4脳1020J

Therefore, the number of 9-megaton fusion bomb required to fulfil the demand is,

n=EconsumptionEbomb

Putting all known values,

n=4脳1020J3.8脳1016鈮�10526

Therefore, 105269-megaton fusion bomb required for fulfilling the annual consumption of energy for a year.

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Most popular questions from this chapter

Question: Mountain climbers carry bottled oxygen when at very high altitudes.

(a) Assuming that a mountain climber uses oxygen at twice the rate for climbing 116 stairs per minute (because of low air temperature and winds), calculate how many liters of oxygen a climber would need for 10.0 h of climbing. (These are liters at sea level.) Note that only 40% of the inhaled oxygen is utilized; the rest is exhaled.

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(c) What is his efficiency for the 10.0-h climb?

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(a) Find the useful power output of an elevator motor that lifts a \(2500 - {\rm{kg}}\) load a height of \(35.0{\rm{ m}}\) in \(12.0{\rm{ s}}\), if it also increases the speed from rest to \(4.00{\rm{ m}}/{\rm{s}}\). Note that the total mass of the counterbalanced system is \(10,000{\rm{ kg}} - \)so that only \(2500{\rm{ kg}}\) is raised in height, but the full \(10,000{\rm{ kg}}\) is accelerated.

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Figure 7.40 The skier鈥檚 initial kinetic energy is partially used in coasting to the top of a rise.
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