AP Physics 1hardmcq1 pt

A 0.50 kg ball is dropped from 9.5 m onto a spring (k = 400 N/m, g = 10 m/s²). Neglecting the spring’s mass, its maximum compression is

A.0.50 m
B.0.40 m
C.1.0 m
D.0.25 m

Explanation

Core Concept

mg(h + x) = ½kx²: 5(8 + x) = 200x² → 200x² − 5x − 40 = 0 → x = 0.50 m (positive root).

Correct Answer

A0.50 m

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