satellite is floating in space. Solar wind sweeping past the satellite consists of a stream of particles, mainly hydrogen ions of mass 1.7×10−27 kg. There are about 0.5×105 ions per cubic meter, and their speed is 8.0×105 m/s. An `umbrella' attached to the satellite is slowly opened, such that the radius of the circular cross-section of the umbrella is changing with time as r(t)=bt2, where b=0.1 m/s2 is a constant (see the figure which shows the side and front views). What is the maximum change of momentum of the satellite due to the solar wind hitting this umbrella after a time of 10 seconds? Explain carefully why this is the maximum possible change. You must explain your reasoning every step of the way!
A satellite is floating in space. Solar wind sweeping past the satellite consists of a stream of particles, mainly hydrogen ions of mass 1.7×10−27 kg. There are about 0.5×105 ions per cubic meter, and their speed is 8.0×105 m/s. An `umbrella' attached to the satellite is slowly opened, such that the radius of the circular cross-section of the umbrella is changing with time as r(t)=bt2, where b=0.1 m/s2 is a constant (see the figure which shows the side and front views). What is the maximum change of momentum of the satellite due to the solar wind hitting this umbrella after a time of 10 seconds? Explain carefully why this is the maximum possible change. You must explain your reasoning every step of the way!
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