Question

2 Asteroid encounter (5 marks) The Small Carry-on Impactor on the Hayabusa 2 space probe fired a copper projectile at asteroid 162173 Tyugu to expose sub-surface material, which it collected and is due to return to Earth on 6 December this year. The projectile was launched by an explosive charge, which may be roughly modelled as a rocket engine. The total mass of projectile + explosive was limited to 7 kg. Assume that the exhaust speed, relative to the projectile, is constant, the asteroid's gravitational field is negligible, and the projectile begins at rest relative to the asteroid. a) Find the ratio of propellant to projectile masses if the projectile's final speed is equal to the exhaust speed? b) What values of projectile and propellant masses will maximize the momentum imparted to the asteroid?

          2 Asteroid encounter
(5 marks)
The Small Carry-on Impactor on the Hayabusa 2 space probe fired a copper projectile at asteroid 162173 Tyugu
to expose sub-surface material, which it collected and is due to return to Earth on 6 December this year. The
projectile was launched by an explosive charge, which may be roughly modelled as a rocket engine. The total
mass of projectile + explosive was limited to 7 kg. Assume that the exhaust speed, relative to the projectile, is
constant, the asteroid's gravitational field is negligible, and the projectile begins at rest relative to the asteroid.
a) Find the ratio of propellant to projectile masses if the projectile's final speed is equal to the exhaust speed?
b) What values of projectile and propellant masses will maximize the momentum imparted to the asteroid?

2 Asteroid encounter
(5 marks)
The Small Carry-on Impactor on the Hayabusa 2 space probe fired a copper projectile at asteroid 162173 Tyugu
to expose sub-surface material, which it collected and is due to return to Earth on 6 December this year. The
projectile was launched by an explosive charge, which may be roughly modelled as a rocket engine. The total
mass of projectile + explosive was limited to 7 kg. Assume that the exhaust speed, relative to the projectile, is
constant, the asteroid's gravitational field is negligible, and the projectile begins at rest relative to the asteroid.
a) Find the ratio of propellant to projectile masses if the projectile's final speed is equal to the exhaust speed?
b) What values of projectile and propellant masses will maximize the momentum imparted to the asteroid?

Added by Amber J.

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