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Nataly_w [17]
2 years ago
15

A spaceprobe in outer space is flying with a constant speed of 1.795 km/s. The probe has a payload of 1635.0 kg and it carries 4

092.0 kg of rocket fuel. The rocket engines of the probe are capable of expelling propellant at a speed of 4.161 km/s. Then the rocket engines are fired up. How fast will the spaceprobe travel when all the rocket fuel is used up?
Physics
1 answer:
erma4kov [3.2K]2 years ago
7 0

The speed by which the spaceprobe travels when all the rocket fuel is used up will be 29.262 m/sec.

<h3>What is the law of conservation of linear momentum?</h3>

According to the law of conservation of linear momentum before the collision is equal to the momentum after the collision. These laws state how momentum gets conserved.

Unit conversion;

1 km/sec = 1000 m/sec

Given data;

Spaceprobe speed  = 1.795 km/s = 1795 m /sec

Probe mass = 635.0 kg

Fuel mass = 4092.0 kg

Expelled propellent velocity = 4.161 km/s = 41461 m/sec

From the momentum conservation principle;

\rm P_i = P_f \\\\ (m_p+m_f)v_i = m_pV - m_fv_p \\\\ V = \frac{(635+4092)1795+4092 \times  41461}{635} \\\\ V = 280540.7 \ m/sec \\\\ V = 28.05 m/sec

Hence, the speed by which the spaceprobe travels when all the rocket fuel is used up will be 29.262 m/sec.

To learn more about the law of conservation of momentum refer to:

brainly.com/question/1113396

#SPJ1

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