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Two gliders approach each other on an air track. The 300-gglider is moving to th

ID: 1667397 • Letter: T

Question

Two gliders approach each other on an air track. The 300-gglider is moving to the right at 2 m/s, while the 600-g glider is moving to theleft at 4 m/s. If the velocity of the 300-g glider after the collision is 8 m/s tothe left, find the velocity of the 600-g glider after the collision, as well as itsdirection. Two gliders approach each other on an air track. The 300-gglider is moving to the right at 2 m/s, while the 600-g glider is moving to theleft at 4 m/s. If the velocity of the 300-g glider after the collision is 8 m/s tothe left, find the velocity of the 600-g glider after the collision, as well as itsdirection.

Explanation / Answer

   According to law of conservation of linearmomentum    total linear momentum beforecollision   =   total linear momentumafter collision    m1 *u1   +   m2 *u2   =   m1 *v1   +   m2 *v2   mass of firstglider    m1   =   300   g                                        =   0.300   kg    velocity of first glider beforecollision   u1   =   2   m/s    velocity of second glider aftercollision   v1   =   -8 m/s         ( -vesign indicates motion towards left)    Mass of secondglider   m2   =   600   g                                              =   0.600   kg    velocity of second glider beforecollision   u2   =   -4 m/s      ( -ve sign indicatesmotion towards left)    velocity of second glider aftercollision   =   v2    0.300 *2   +   0.600 * (-4)   =   0.300 * ( -8)   +   0.600 * v2    final velocity of second glider aftercollision   v2   =   {0.600- 2.400 + 2.400} / 0.600                                                                            =   1.00   m/s    hencesecond glider moves to the right ( + ve sign) with velocity 1.00m/s.    final velocity of second glider aftercollision   v2   =   {0.600- 2.400 + 2.400} / 0.600                                                                            =   1.00   m/s    hencesecond glider moves to the right ( + ve sign) with velocity 1.00m/s.
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