TS EAMCET · Physics · Laws of Motion
A block of mass \(2 \mathrm{~kg}\) is connected to an ideal spring and is placed on a smooth horizontal surface. The spring is pulled to move the block and at an instant, the speed of end \(A\) of the spring and speed of the block were measured to be \(6 \mathrm{~m} / \mathrm{s}\) and \(3 \mathrm{~m} / \mathrm{s}\), respectively. At this moment the potential energy stored in the spring in increasing at a rate \(15 \mathrm{~J} / \mathrm{s}\). Find the acceleration of the block at this instant. 
- A \(1.5 \mathrm{~m} / \mathrm{s}^2\)
- B \(3.0 \mathrm{~m} / \mathrm{s}^2\)
- C \(4.5 \mathrm{~m} / \mathrm{s}^2\)
- D \(2.5 \mathrm{~m} / \mathrm{s}^2\)
Answer & Solution
Correct Answer
(A) \(1.5 \mathrm{~m} / \mathrm{s}^2\)
Step-by-step Solution
Detailed explanation
Given, mass of block, \(m=2 \mathrm{~kg}\) Since, block is pulled by spring at an instant, velocity of spring's end, \(v_1=6 \mathrm{~m} / \mathrm{s}\) and velocity of block end, \(v_2=3 \mathrm{~m} / \mathrm{s}\) The rate of potential energy,…
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