# Yield of nuclear bomb

## Homework Statement

The energy released by nuclear bombs is measured in kiloton (kt) or megaton (Mt) units. One kiloton is a unit of energy released by 1000 tons of trinitrotoluene (TNT). One kiloton is 4.2×1012 joules. The yield of fission bombs is typically between 10 and 500 kilotons, the yield of fusion bombs is between 1 and 50 megatons. Calculate the length of a single line of large highway trucks carrying a 74.0 kt load. The capacitity of one truck is 28.0 t, the length of one truck is 15.0 m. The spacing between the trucks is 21.0 m.

## The Attempt at a Solution

So i divided 74000 tons by 28 tons to get 2642.857 trucks then multiplied by the length of one truck to get 39642.857 then added (21*(2642.857-2)) to get the spacing included, i subracted two because there is no spacing before the first truck and none after the last truck. but this is incorrect what did i do wrong

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Delphi51
Homework Helper
How are you thinking of the spacing? Before each truck or after it? Not both.

well there would be spacing between every truck except the first and last truck

cjl
How would there be 0.857 of a truck? I would guess they want you to round up, since you can't have a partial truck.

True I was just keeping it in to be more exact because the question is asking for how many trucks but how long the convoy is.

PeterO
Homework Helper

## Homework Statement

The energy released by nuclear bombs is measured in kiloton (kt) or megaton (Mt) units. One kiloton is a unit of energy released by 1000 tons of trinitrotoluene (TNT). One kiloton is 4.2×1012 joules. The yield of fission bombs is typically between 10 and 500 kilotons, the yield of fusion bombs is between 1 and 50 megatons. Calculate the length of a single line of large highway trucks carrying a 74.0 kt load. The capacitity of one truck is 28.0 t, the length of one truck is 15.0 m. The spacing between the trucks is 21.0 m.

## The Attempt at a Solution

So i divided 74000 tons by 28 tons to get 2642.857 trucks then multiplied by the length of one truck to get 39642.857 then added (21*(2642.857-2)) to get the spacing included, i subracted two because there is no spacing before the first truck and none after the last truck. but this is incorrect what did i do wrong
Your length of trucks is correct - though should be rounded up to2643 trucks.

kiven you are expressing to 3 figure precision only 39.6 km of truck covers the round off anyway.
since the "spacing" is even longer than a truck - the line of trucks will be over 90 km long.
What was the answer you were given?

Nevermind I got it but thanks for the help.