Two identical gliders on an air track are held together by apiece of string, com

Question

Two identical gliders on an air track are held together by apiece of string, compressing a spring between the gliders. Whilethey are moving to the right at a common speed of 0.50 m/s, someonebolds a match under the string and burns it, letting the springforce the gliders apart. One glider is then observed to be movingto the right at 1.30 m/s. a) What velocity does the other glider have? b) It the total kinetic energy of the two gliders after thecollision greater than, less than, or equal to the total kineticenergy before the collision? If greater, where did the extra energycome from? If less, where did the "lost" energy go? Two identical gliders on an air track are held together by apiece of string, compressing a spring between the gliders. Whilethey are moving to the right at a common speed of 0.50 m/s, someonebolds a match under the string and burns it, letting the springforce the gliders apart. One glider is then observed to be movingto the right at 1.30 m/s. a) What velocity does the other glider have? b) It the total kinetic energy of the two gliders after thecollision greater than, less than, or equal to the total kineticenergy before the collision? If greater, where did the extra energycome from? If less, where did the "lost" energy go?

Explanation / Answer

a) 2m(0.50) = m(1.30) + m(x) x = 1.00-1.30 x = -0.30 m/s b) The total kinetic energy isgreater because of the force from the springthat separated them.

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