Practice question
Question
A mass of \( 0.5 \, \text{kg} \) on a spring with \( k = 50 \, \text{N/m} \) has \( A = 20 \, \text{cm}
\). What is the kinetic energy at \( x = 10 \, \text{cm} \)?
Explanation
**Energy distribution** shows maximum kinetic at equilibrium and maximum potential at extremes, sum constant. This relation enables calculation of amplitude, velocity at any displacement via v = ±√(2(E-U)/m), and understanding of energy storage in oscillating system for NEET problems. Total energy: E = (1/2) k A² = 0.5 × 50 × (0.2)² = 1 J . Potential energy: U = (1/2) k x² = 0.5 × 50 × (0.1)² = 0.25 J . Kinetic energy: K = E - U = 1 - 0.25 = 0.75 J . Applying x = A cos(ωt + φ), v = -ωA sin(ωt + φ), a = -ω²x and
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