AP EAMCET · PHYSICS · Work Power Energy
A car of mass \(1000 \mathrm{~kg}\) having a velocity of \(10 \mathrm{~ms}^{-1}\) collides a horizontally mounted spring. If the spring constant is \(4000 \mathrm{Nm}^{-1}\), then the maximum compression of the spring is
- A \(25 \mathrm{~m}\)
- B \(15 \mathrm{~m}\)
- C \(5 \mathrm{~m}\)
- D \(10 \mathrm{~m}\)
Answer & Solution
Correct Answer
(C) \(5 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Mass of car, \(m=1000 \mathrm{~kg}\) Velocity, \(v=10 \mathrm{~m} / \mathrm{s}\) Spring constant, \(\mathrm{k}=4000 \mathrm{Nm}^{-1}\) Apply the conservation of energy \(\frac{1}{2} m v^2=\frac{1}{2} k(\Delta x)^2\)…
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