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Physics · WORK, ENERGY AND POWER
हिन्दीA car of mass \( 1000\text{ kg} \) moving with a speed of \( 18.0\text{ km/h} \) on a smooth horizontal road collides with a horizontally mounted spring of spring constant \( 6.25 \times 10^3\text{ N m}^{-1} \). The maximum compression of the spring will be:
Correct answer · Option 2
\( 2.00\text{ m} \)
Explanation
Speed \( v = 18\text{ km/h} = 5\text{ m/s} \). Kinetic energy \( K = \frac{1}{2}mv^2 = \frac{1}{2}(1000)(25) = 12500\text{ J} \). Setting \( \frac{1}{2}kx_m^2 = K \implies x_m = \sqrt{\frac{2 \times 12500}{6.25 \times 10^3}} = \sqrt{4} = 2.00\text{ m} \).
