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Volcano

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Hello,

I want to learn something but below question is better to learn for me. If, any help.

Q: A 6090kg space probe, moving nose-first toward Jupiter at 105 m/s relative to tthe sun, fires its rocket engine, ejecting 80kg of exhaust at a speed of 253m/s relative to the space probe. What is the final velocity of the probe?

for my opininon, this question must solve with,

Vf = Vi + Vrel * ln(Mi/Mf) ...... (*)

but beside,

6090 * 105 = (6090-80)Vf + 80(Vf - 253) ...(1)

above where,

Vf = 105 + [tex]{\Delta}[/tex] V

6090 *105 = (6090-80)V' + 80(105 - 253) ...(2)

may solve this for a approx. solution. But which one will be more closer to (*) equation? I think it is (1) eq. but ...

Any idea?

Thanks

I want to learn something but below question is better to learn for me. If, any help.

Q: A 6090kg space probe, moving nose-first toward Jupiter at 105 m/s relative to tthe sun, fires its rocket engine, ejecting 80kg of exhaust at a speed of 253m/s relative to the space probe. What is the final velocity of the probe?

for my opininon, this question must solve with,

Vf = Vi + Vrel * ln(Mi/Mf) ...... (*)

but beside,

6090 * 105 = (6090-80)Vf + 80(Vf - 253) ...(1)

above where,

Vf = 105 + [tex]{\Delta}[/tex] V

6090 *105 = (6090-80)V' + 80(105 - 253) ...(2)

may solve this for a approx. solution. But which one will be more closer to (*) equation? I think it is (1) eq. but ...

Any idea?

Thanks

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