The spring on Earth has stiffness 2k and relaxed length L0. When the package is at rest and ready to launch, the spring is maximally compressed. What does this compression have to be in order for the package to reach the launching speed you found in the previous part
The spring on Earth has stiffness 2k and relaxed length L0. When the package is at rest and ready to launch, the spring is maximally compressed. What does this compression have to be in order for the package to reach the launching speed you found in the previous part
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The spring on Earth has stiffness 2k and relaxed length L0. When the package is at rest and ready to launch, the spring is maximally compressed. What does this compression have to be in order for the package to reach the launching speed you found in the previous part? Use the variable v to represent the speed found in part 1.
Transcribed Image Text:The spring on the Moon has stiffness k, relaxed length Lo, and at its maximum compression it
has length Lo/4. What should be the launch speed v; on Earth such that when the package is
caught by the spring on the Moon, the package comes to rest when the spring is maximally
compressed? Your answer should be expressed in terms of the variables known in the problem
(m, M, R, k, Lo) and fundamental physical constants such as G. You do not need to simplify
your final answer.
Transcribed Image Text:A package of mass m needs to be delivered to the Moon (mass M, radius R) from Earth (mass
81.3M, radius 3.7R). To do this, you use a horizontal spring-loaded mechanism on the surface
of the Earth that will launch the package at the necessary speed for it to reach the surface of
the Moon. Over on the Moon, the package is received with another horizontal spring-loaded
mechanism.
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