JEE PYQ: Oscillations Question 38
Question 38 - 2019 (11 Jan 2019 Shift 1)
A body of mass 1 kg falls freely from a height of 100 m, on a platform of mass 3 kg which is mounted on a spring having spring constant $k = 1.25 \times 10^6$ N/m. The body sticks to the platform and the spring’s maximum compression is found to be $x$. Given that $g = 10$ ms$^{-2}$, the value of $x$ will be close to:
(1) 40 cm
(2) 4 cm
(3) 80 cm
(4) 8 cm
Show Answer
Answer: (2)
Solution
Using conservation of momentum and work-energy theorem, $x \approx 4$ cm.