Conservation of Linear Momentum Problem

AI Thread Summary
The discussion focuses on a physics problem involving the conservation of linear momentum with two identical twins on ice skates. Twin A throws a 12.0 kg backpack at a speed of 3.40 m/s to Twin B, both initially at rest. Participants agree that the conservation of linear momentum principle should be applied to calculate the subsequent speeds of both twins after the backpack is thrown and when it is caught. The formula m1v1i + m2v2i = m1v1f + m2v2f is emphasized for this calculation. The conversation confirms the need to apply this principle twice for accurate results.
MG5
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Identical twins, each with mass 52.6 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 3.40 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?

I think I'd use conservation of linear momentum wouldn't I?

m1v1i + m2v2i = m1v1f + m2v2f

Would I do it twice? Once for when the backpack is thrown and then again for when it is caught?
 
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Hi MG5! :smile:
MG5 said:
I think I'd use conservation of linear momentum wouldn't I?

m1v1i + m2v2i = m1v1f + m2v2f

Would I do it twice? Once for when the backpack is thrown and then again for when it is caught?

Yes! :smile: And yes! :smile: And yes! :smile:
 
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