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Elan Coil [88]
2 years ago
13

Two astronauts are floating together with zero speed in a gravity-free region of space. The mass of astronaut A is 110 kg and th

at of astronaut B is 74 kg. Astronaut A pushes B away, with B attaining a final speed of 0.4. The final recoil speed of astronaut A is:
Physics
1 answer:
Kobotan [32]2 years ago
4 0

Answer:

The recoil speed of Astronaut A is 0.26 m/s.            

Explanation:

Given that,

Mass of astronaut A, m_A=110\ kg

Mass of astronaut B, m_B=74\ kg

Astronaut A pushes B away, with B attaining a final speed of 0.4, v_B=0.4\ m/s

We need to find the recoil speed of astronaut A. The momentum remains conserved here. Using the law of conservation of linear momentum as :

m_Av_A=m_Bv_B\\\\v_A=\dfrac{m_Bv_B}{m_A}\\\\v_A=\dfrac{74\times 0.4}{110}\\\\v_A=0.26\ m/s

So, the recoil speed of Astronaut A is 0.26 m/s.                                

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