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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’s supply of energy (using data from Table 7.1)? This is not as farfetched as it may sound—there 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’s 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=3.8×1016J

Annual consumption of energy in the world is,

Econsumption=4×1020J

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

n=EconsumptionEbomb

Putting all known values,

n=4×1020J3.8×1016≈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

Consider humans generating electricity by pedaling a device similar to a stationary bicycle. Construct a problem in which you determine the number of people it would take to replace a large electrical generation facility. Among the things to consider are the power output that is reasonable using the legs, rest time, and the need for electricity 24 hours per day. Discuss the practical implications of your results.

Energy that is not utilized for work or heat transfer is converted to the chemical energy of body fat containing about \(39{\rm{ kJ}}/{\rm{g}}\). How many grams of fat will you gain if you eat \(10,000{\rm{ kJ}}\) (about \(2500{\rm{ kcal}}\)) one day and do nothing but sit relaxed for \(16.0{\rm{ hr}}\) and sleep for the other \(8.00{\rm{ h}}\)? Use data from Table 7.5 for the energy consumption rates of these activities.

(a) How long will it take an 850-kg car with a useful power output of 40.0 hp (1 hp = 746 W) to reach a speed of 15.0 m/s, neglecting friction?

(b) How long will this acceleration take if the car also climbs a 3.00-m high hill in the process?

A 100-g toy car is propelled by a compressed spring that starts it moving. The car follows the curved track in Figure 7.39. Show that the final speed of the toy car is 0.687 m/s if its initial speed is 2.00 m/s and it coasts up the frictionless slope, gaining 0.180 m in altitude.

Suppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly goes supernova. Using data from Table 7.3:

(a) By what factor does its power output increase?

(b) How many times brighter than our entire Milky Way galaxy is the supernova?

(c) Based on your answers, discuss whether it should be possible to observe supernovas in distant galaxies. Note that there are on the order of 1011 observable galaxies, the average brightness of which is somewhat less than our own galaxy.
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