object moving along a horizontal track collides with and compresses a light spri

Question

object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at e end of the track. The spring constant is 42.4 N/m, the mass of the object 0.250 kg and the speed of the object is 70 m/s immediately before the collision. (a) Determine the spring's maximum compression if the track is frictionless (b) If the track is not frictionless, will the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater than O less than O equal to

Explanation / Answer

Applying energy conservation,

KEi + PEi = KEf + PEf

0 + 42.4 x^2 /2 = 0.250(70^2)/2 + 0

x =5.37 m

(B) if friction is there, then some of KE will be wasted overcoming friction.

hence compression will be less .

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