Identical twins, each with mass 57.3kg, are on ice skates and at rest on a froze

Question

Identical twins, each with mass 57.3kg, are on ice skates and at rest on a frozen lake, which may betaken as frictionless. Twin A is carrying a backpack of mass 12.0kg. She throws it horizontally at 3.50m/s to Twin B. Neglecting any gravity effects, what are thesubsequent speeds of Twin A and Twin B?
Twin A 1 m/s Twin B 2 m/s Twin A 1 m/s Twin B 2 m/s

Explanation / Answer

Pbag = 12*3.5 = 42 PA=42=mA*VA ---->VA= 42/57.3 = -0.733 m/s PB=42=(mB+mbag)*VB ---->VB = 42/(57.3+12) = 0.606 m/s Conservation of momentum: PA = 57.3*-0.733 = -42 kg-m/s PB = (57.3+12)*0.606 = 42 kg-m/s So PA+PB=zero

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