A 64 kg astronaut floating in space throws a 5.4 kg rock at 3.5 m/sec. How fast does the astronaut move backward?

v₁ = 0.29 [m/s]

Explanation:

This problem can be solved by preserving the momentum. This can be represented by means of the following equation.

where:

m₁ = mass of the astronaut = 64 [kg]

v₁ =  velocity of the astronaut [m/s]

m₂ = mass of the rock = 5.4 [kg]

v₂ = velocity of the rock = 3.5 [m/s]

Now replacing:

So, the shortest wavelengths is, Substitute 109678cm−1 for Rydberg constant, n1=1 and n∞ for nhigher. So, the shortest wavelength is 9.11×10−6cm. Longest wavelengths in the hydrogen spectrum of Lyman series means the electron is coming from the next higher energy level.

Explanation:

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