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15. At lift-off, a rocket weighs 32.5 tons, including fuel. It isfired vertically, and, during the first stage of ascent, the fuelis consumed at 1.25 tons per 1000 ft of ascent. How muchwork is done in lifting the rocket to an altitude of 12,000 ft?

Question
15. At lift-off, a rocket weighs 32.5 tons, including fuel. It is
fired vertically, and, during the first stage of ascent, the fuel
is consumed at 1.25 tons per 1000 ft of ascent. How much
work is done in lifting the rocket to an altitude of 12,000 ft?
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15. At lift-off, a rocket weighs 32.5 tons, including fuel. It is fired vertically, and, during the first stage of ascent, the fuel is consumed at 1.25 tons per 1000 ft of ascent. How much work is done in lifting the rocket to an altitude of 12,000 ft?

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check_circleAnswer
Step 1

A rocket mass is 32.5 tons.

The rate of change of mass consumed is (dm/ds) = 1.25/1000 ton/ft.

Let at a distance s from the ground, the force exerted on the rocket.

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Step 2

Obtain the work done as follows.

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Step 3
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Tagged in

Math

Calculus

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