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Based on the length of the spring and the mass of the block, the distance the 4.0 kg block can fall before a reversal in direction is 32 cm.
Because energy is conserved, the distance the block can drop can be found as:
Mass x gravity x distance = (1 / 2) x spring constant x distance ²
Spring constant:
= (Mass x gravity) / distance
= (3 x 9.8) / 12
= 2.45 cm
Distance is:
Mass x gravity x distance = (1 / 2) x spring constant x distance ²
distance = (2 x Mass x gravity) / spring constant
= (2 x 4 x 9.8) / 2.45
= 32 cm
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