The startup company SpinLaunch T is pr The arm spins up in a large vacuum char projectile vertically to an altitude of 61 kr projectile is above most of the atmosphen traditional rockets) minimized. Assume that the projectile launches verti What is the mimimum velocity required to

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The startup company SpinLaunch TM is proposing to place small satellites in low earth orbit cheaply and rapidly by launching a projectile from a spinning arm.
The arm spins up in a large vacuum chamber, and, at the proper instant, the projectile is released. The tangential velocity imparted to the projectile propels the
projectile vertically to an altitude of 61 km where small rocket motors fire to place the payloads into the proper orbit. Since the rockets aren't required until the
projectile is above most of the atmosphere, the rocket motors can be small and the quantity of fuel carried (which accounts for most of the mass and cost of
traditional rockets) minimized.
Assume that the projectile launches vertically and neglect air resistance once the projectile leaves the launcher.
What is the mimimum velocity required to boost the projectile to 61 km?
Transcribed Image Text:The startup company SpinLaunch TM is proposing to place small satellites in low earth orbit cheaply and rapidly by launching a projectile from a spinning arm. The arm spins up in a large vacuum chamber, and, at the proper instant, the projectile is released. The tangential velocity imparted to the projectile propels the projectile vertically to an altitude of 61 km where small rocket motors fire to place the payloads into the proper orbit. Since the rockets aren't required until the projectile is above most of the atmosphere, the rocket motors can be small and the quantity of fuel carried (which accounts for most of the mass and cost of traditional rockets) minimized. Assume that the projectile launches vertically and neglect air resistance once the projectile leaves the launcher. What is the mimimum velocity required to boost the projectile to 61 km?
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