Question:medium
A 1kg mass is attached to a spring of force constant 600N/m and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides on the surface and hits the first at 3m/s. If the masses make a perfectly inelastic collision, then find the amplitude of oscillation of the combined mass and time period of oscillation.
A 1kg mass is attached to a spring of force constant 600N/m and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides on the surface and hits the first at 3m/s. If the masses make a perfectly inelastic collision, then find the amplitude of oscillation of the combined mass and time period of oscillation.
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After a perfectly inelastic collision:
A=(v)/(ω), ω=√((k)/(m))
Use momentum conservation first, then SHM formulas.
Updated On: Mar 19, 2026
- \(5\,\text{cm},\; \dfrac{\pi}{10}\,\text{s}\)
- \(5\,\text{cm},\; \dfrac{\pi}{5}\,\text{s}\)
- \(4\,\text{cm},\; \dfrac{2\pi}{5}\,\text{s}\)
- 4cm, (π)/(3)s
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The Correct Option is A
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