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AP EAMCET · PHYSICS · Work Power Energy

A mass of 1 kg falls from a height of 1 m and lands on a mass less platform supported by a spring having spring constant 15 N m-1 as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity =10 m s-2)

  1. A 2 m
  2. B 2 m
  3. C 23m
  4. D 3 m
Verified Solution

Answer & Solution

Correct Answer

(A) 2 m

Step-by-step Solution

Detailed explanation

In case of maximum compression, total mechanical energy will be conserved. TE1=TE2 Assuming dotted line to be reference for gravitational potential energy. ⇒mgh+0=mg-x+12kx2 ⇒1×10×1=1×10×-x+12×15×x2⇒3x2-4x-4=0⇒x=2 m
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