A 5.00 g object moving to the right at+20.0 cm/s makesan elastic head-on collisi

Question

A 5.00 g object moving to the right at+20.0 cm/s makesan elastic head-on collision with a 10.0 gobject that is initially at rest. (a) Find the velocity of each object after thecollision.
5.00 g object
1 cm/s
10.0 g object
2 cm/s

(b) Find the percentage of the initial kinetic energy transferredto the 10.0 g object.
3% (a) Find the velocity of each object after thecollision.
5.00 g object
1 cm/s
10.0 g object
2 cm/s

(b) Find the percentage of the initial kinetic energy transferredto the 10.0 g object.
3%

Explanation / Answer

mass es m = 5 g             m ' = 10 g velocities u =20 cm / s               u ' = 0 m / s from the law of conservation of momentum , mu + m ' u ' = mv +m ' v '                                                              100 + 0 = 5 v + 10 v '                                  v + 2v ' = 20 -----( 1) for eleastic collision   v - v ' = u ' - u                                v - v ' = -20   ----( 2) eq ( 1) -eq ( 2) ==> 3v ' = 40                                   v ' = 13.333 cm / s from eq ( 2)   , v = -20 + v ' = - 6.6667 cm /s velcoity of 5 g object v = -6.6667 cm / s velocity of 10g object v ' = 13.333 cm / s Initioal kinetic energy K = ( 1/ 2) m u ^2    Since u ' = 0 kinetic energy of 10 g object after collision K ' = ( 1/2) m ' v '^2 required percentage = ( K ' / K ) * 100                                = ( m' / m ) ( v' / u ) ^ 2 * 100                                

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