A 8.00-kg block drops straight down from a height of 1.00 m, striking a platform spring having force constant 1.00 X 10^3 N/m. Find the maximum compression of the spring.
The answer is d=0.482 m. Please help me work this out step by step. Thanks!!
The answer is d=0.482 m. Please help me work this out step by step. Thanks!!
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ΔE = 0
-½ k x² + mg(h + x) = 0
-½ * 1000 x² + (8)(9.8)(1 + x) = 0
solve by quadratic equation formula, and choose positive value for x,
x = 0.482 m
-½ k x² + mg(h + x) = 0
-½ * 1000 x² + (8)(9.8)(1 + x) = 0
solve by quadratic equation formula, and choose positive value for x,
x = 0.482 m