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There is a spring kept vertically fixed at one end with a mass attached to its other end. It is compressed to 45 cm from its mean position before releasing. Due to certain energy losses, every time the compression reduces by a factor of 4/5. Find the total distance travelled by the ball attached to the spring (in cm). (Assume that for a spring the compression from mean position = expansion from mean position)
  • a)
    540
  • b)
    360
  • c)
    885
  • d)
    720
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
There is a spring kept vertically fixed at one end with a mass attache...
For a spring the compression from mean position = expansion from mean position and hence when the ball crosses spring’s mean position for the second time after being left from compression, it travels a distance = 3 x (compression from mean position). After crossing the mean position for the second time the compression reduces by a factor of 4/5 for every cycle. Now for every cycle the distance travelled = 4 * (compression from mean position).
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There is a spring kept vertically fixed at one end with a mass attached to its other end. It is compressed to 45 cm from its mean position before releasing. Due to certain energy losses, every time the compression reduces by a factor of 4/5. Find the total distance travelled by the ball attached to the spring (in cm). (Assume that for a spring the compression from mean position = expansion from mean position)a)540b)360c)885d)720Correct answer is option 'C'. Can you explain this answer?
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