A ball of mass m₁ moves atop the frictionless surface of a table in the +x direction with initial velocity 71i < V₁i, 0, 0>. It collides elastically off-center with a smaller ball of mass which was originally at rest. y m1 Before collision V₁i m2 V2i = 0 m2 y After collision Vif m1 m2 16 √2f X After the collision, ball m₁ moves with final speed v₁ƒ at an unknown angle above the x axis, and ball m2 moves with final speed v2f at an unknown angle below the x axis. Find the values of and in terms of the known quantities in the problem (the masses m₁ and m2, and the speeds Vli, V2i, V1f, V2f).

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Chapter9: Linear Momentum And Collisions
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A ball of mass m₁ moves atop the frictionless surface of a table in the +x direction with initial
velocity v1i < V₁i, 0, 0 >. It collides elastically off-center with a smaller ball of mass
which was originally at rest.
у
m1
Before
collision
Vli
m2
V2i
=
0
X
m2
у
After
collision
V₁f
m1
m2
0
√2f
→X
After the collision, ball m₁ moves with final speed v₁ƒ at an unknown angle above the x axis,
and ball m₂ moves with final speed 2f at an unknown angle below the x axis. Find the
values of and in terms of the known quantities in the problem (the masses m₁ and m2,
and the speeds Vii, V2i, V1f, V2ƒ).
Transcribed Image Text:A ball of mass m₁ moves atop the frictionless surface of a table in the +x direction with initial velocity v1i < V₁i, 0, 0 >. It collides elastically off-center with a smaller ball of mass which was originally at rest. у m1 Before collision Vli m2 V2i = 0 X m2 у After collision V₁f m1 m2 0 √2f →X After the collision, ball m₁ moves with final speed v₁ƒ at an unknown angle above the x axis, and ball m₂ moves with final speed 2f at an unknown angle below the x axis. Find the values of and in terms of the known quantities in the problem (the masses m₁ and m2, and the speeds Vii, V2i, V1f, V2ƒ).
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