Question

In the arrangement shown, \[ k_1=1500\,\text{N m}^{-1}, \qquad k_2=500\,\text{N m}^{-1}, \] \[ m_1=2\,\text{kg}, \qquad m_2=1\,\text{kg}. \] The potential energy stored in the system of springs in equilibrium is (spring masses negligible and \(g=10\,\text{ms}^{-2}\)).

• A. \(0.5\ \text{J}\)
• B. \(0.4\ \text{J}\)
• C. \(1.2\ \text{J}\)
• D. \(5.6\ \text{J}\)

Hint:

In a vertical spring system, first determine the tension in each spring. The upper spring supports all masses below it, while a lower spring supports only the masses hanging beneath it. Then use \[ U=\frac12 kx^2. \]

Answer 1

The Correct Option is B