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In Space, an astronaut releases a wrench from his hand. The wrench has a mass of 4 grams and is traveling with a velocity of -15m/s. The Astronaut’s mass is 70kg. What is his Velocity?

Respuesta :

Answer:

[tex]v_=-8.5\times 10^{-4}\ m/s[/tex]

Explanation:

Given that,

Mass of a wrench, m₁ = 4 g = 0.004 kg

Speed of wrench, v₁ = -15 m/s

Mass of the Astronaut, m₂ = 70 kg

We need to find Astronaut's velocity. Let it is v₂. Using the conservation of linear momentum to find it.

[tex]m_1v_1=m_2v_2\\\\v_2=\dfrac{m_1v_1}{m_2}\\\\v_2=\dfrac{0.004\times (-15)}{70}\\\\=-8.5\times 10^{-4}\ m/s[/tex]

So, the speed of Astronaut is [tex]8.5\times 10^{-4}\ m/s[/tex].