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A 20-kg object sitting at rest is struck elastically in a head-on collision with a 10-kg object...

A 20-kg object sitting at rest is struck elastically in a head-on collision with a 10-kg object initially moving at +3.0 m/s. Find the final velocity of the 20-kgobject after the collison.
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Answer #1

Gavin that

m1 = 20 Kg

u1 = 0

m2 = 10 Kg

u2 = 3 m/s

According to law of conservation of momentum

                      m1 u1 + m2 u2 = m1 v1 + m2 v2  ---(1)

Since it is an eleastic collision

                                         u1 - u2 = v2 - v1

                                                v2 = u1 - u2 + v1

Substitute it in the equation(1)

                          0 + 30 = 20 v1 + 10(0 - 3 + v1)

                                 30 = 20 v1 - 30 + 10 v1

                             30 v1 = 60

                                  v1 = 2 m/s

Velocity of mass m1 after collision is 2 m/s   


answered by: newton
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