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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

PhysicsMediumsingle choice

Two blocks $A$ and $B$ , each of mass $m$ , are connected by a massless spring of natural length $L$ and spring constant $k$ . They rest on a smooth horizontal floor with the spring at natural length. A third identical block $C$ , mass $m$ , moving along the line joining $A$ and $B$ with speed $v$ , collides elastically with $A$ (Figure 5.98). Then:

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Answer:

Solution:

Equal masses in an elastic collision: $C$ stops and $A$ moves with $v$ . At maximum compression $A$ and $B$ move together at $v /2$ , so KE = $m \cdot \frac{v ^{2}}{4} = \frac{m v ^{2}}{4}$ . Then $\frac{1}{2} m v^{2} = \frac{1}{4} m v^{2} + \frac{1}{2} k x^{2}$ gives $x = v m /2 k$ , so (C) and (D) are wrong.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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