Particle dropped on platform with spring - Compression of springs

AI Thread Summary
A massless platform on a light elastic spring compresses by 1cm when a 100g particle is dropped from a height of 24cm. The discussion focuses on determining the height required to achieve a 4cm compression of the spring. Using the principle of conservation of energy, the kinetic energy gained by the particle during its fall is equal to the potential energy stored in the spring when compressed. The textbook answer indicates that the particle should be dropped from a height of 396cm to achieve this compression. This illustrates the relationship between the height of the drop and the resulting spring compression.
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A massless platform is kept on a light elastic spring.
When a particle of mass 100g is dropped on the platform from a hieght of 24cm it strikes the platform and compresses the spring by 1cm.
From what hieght should the particle be dropped to cause a compression of 4cm?
[text book answer: 396cm]
 
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Use the fact that energy (kinetic + potential) is conserved.
 
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