A satellite that is spinning clockwise has four low-mass solar panels sticking out as shown; the mass of the satellite is 800 kg. A tiny meteor of mass 5 kg traveling at high speed rips through one of the solar panels and continues in the same direction but at reduced speed. In the figure v1 = 900 m/s and v2 = 440 m/s are the initial and final speeds of the meteor, and v = 15 m/s is the initial speed of the satellite in the x direction. The angle θ = 26°, h = 2 m, and R = 1.4 m. Calculate the final velocity of the center of mass of the satellite:

Question

Physics

Leia Weiss

18 January, 05:22

A satellite that is spinning clockwise has four low-mass solar panels sticking out as shown; the mass of the satellite is 800 kg. A tiny meteor of mass 5 kg traveling at high speed rips through one of the solar panels and continues in the same direction but at reduced speed. In the figure v1 = 900 m/s and v2 = 440 m/s are the initial and final speeds of the meteor, and v = 15 m/s is the initial speed of the satellite in the x direction. The angle θ = 26°, h = 2 m, and R = 1.4 m. Calculate the final velocity of the center of mass of the satellite:

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Amaris Mcpherson · Answer 1

We are given with

ms = 800 kg

mm = 5 kg

v1 = 900 m/s

v2 = 440 m/s

v = 15 m/s

θ = 26°

h = 2 m

R = 1.4 m

To calculate the final velocity of the center of mass of the satellite, we need to use the law of conservation of momentum

ms v1 + mm v2 = ms' v1' + mm v2'

The velocity that will be used will the x component which is

vx = v cos θ

Substitute the given values and solve for v1'