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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Conservative force & potential energyMedium2 minQB

PhysicsMediuminteger

Two blocks A (3kg) and B (6kg) are connected by a spring of stiffness $512 N / m$ and placed on a smooth horizontal surface. Initially the spring has equilibrium length. Velocity $1.8 m / s$ and $2.2 m / s$ are imparted to A and B in opposite direction. The maximum extension of the spring will be $____$ cm.

Answer:

Solution:

At maximum extension both blocks move together. Energy in the CM frame: $\frac{1}{2} μ v_{re l}^{2} = \frac{1}{2} k x_{ma x}^{2}$ .

$μ = \frac{3 \times 6}{3 + 6} = 2 kg, v_{re l} = 1.8 + 2.2 = 4 m/s$ .

$x_{ma x}^{2} = \frac{2 \times 16}{512} \Rightarrow x_{ma x} = 0.25 m = 25 cm$ . Answer: 25.

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Conservative force & potential energy

⏱ 2mℹ️ Source: QB

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