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5.Work, Energy, Power and Collision
hard
A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

A
$\sqrt{6} \mathrm{~m}$
B
$2 \mathrm{~m}$
C
$1 \mathrm{~m}$
D
$\sqrt{5} \mathrm{~m}$
(JEE MAIN-2024)
Solution
$\mathrm{w}_{\mathrm{g}}+\mathrm{w}_{\mathrm{FT}}+\mathrm{w}_{\mathrm{s}}=\Delta \mathrm{KE}$
$5 \times 10 \times 5-0.5 \times 5 \times 10 \times \mathrm{x}-\frac{1}{2} \mathrm{Kx}^2=0-0$
$250=25 \mathrm{x}+50 \mathrm{x}^2$
$2 \mathrm{x}^2+\mathrm{x}-10=0$
$\mathrm{x}=2$
Standard 11
Physics