# A 5.8 g marble is fired vertically upward using a spring gun. The spring must be compressed 9.7 cm if the marble is to just reach a target 28 m above the marble's position on the compressed spring. (a) What is the change ΔUg in the gravitational potential energy of the marble-Earth system during the 28 m ascent? (b) What is the change ΔUs in the elastic potential energy of the spring during its launch of the marble? (c) What is the spring constant of the spring?

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A 5.8 g marble is fired vertically upward using a spring gun. The spring must be compressed 9.7 cm if the marble is to just reach a target 28 m above the marble's position on the compressed spring. (a) What is the change ΔUg in the gravitational potential energy of the marble-Earth system during the 28 m ascent? (b) What is the change ΔUs in the elastic potential energy of the spring during its launch of the marble? (c) What is the spring constant of the spring?

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Step 1

Given:

Step 2

Calculation:

a) The gravitational potential energy is given by,

Step 3

The gravitational potential...

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