JEE Main Physics question
A 2.0 kg block is dropped from a height of 40 cm onto a spring of spring constant k = 1960 N m⁻¹. Find the maximum distance the spring is compressed.
Answer: (D)
Solution
Energy conservation: mg(h+x) = ½kx² ⟹ kx² − 2mgx − 2mgh = 0. With m=2, g=9.8, h=0.4, k=1960: 1960x²
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