A two-stage rocket is traveling at 1200 m/s with respect

Chapter 9, Problem 73CP

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QUESTION:

Problem 73CP

A two-stage rocket is traveling at 1200 m/s with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of 35 m/s relative to the second stage. The first stage is three times as massive as the second stage. What is the speed of the second stage after the separation?

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QUESTION:

Problem 73CP

A two-stage rocket is traveling at 1200 m/s with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of 35 m/s relative to the second stage. The first stage is three times as massive as the second stage. What is the speed of the second stage after the separation?

ANSWER:

Step 1 of 2

Here we have to find the speed of the 2nd stage after the separation.

Let’s take the mass of the 2nd stage is m.

So, the mass of the 1st stage will be 3m.

The total mass of the rocket is 4m.

The speed of the 1sta stage is .

The speed of the 2nd stage is .

Initially, the whole rocket was moving at a speed of 1200 m/s wrt earth.

After the separation, the 2nd stage was moving at a speed of 35 m/s wrt the rocket, downwards.

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