the collision. The conservation of the total momentum before and after the collision is expressed by: m1u1 + m2U2 = m1vi + m2v2. Likewise, the conservation of the total kinetic energy is expressed by: Entru + fa tu = ntru? + n lu Entru + ļa tu? These equations may be solved directly to find v1, v2 when u1, uz are known: - + In. Zu + Tu m2 Tu + Tu · 2m1 + In- Tu + Tu v2 Tu + Tu (1 2.41 m/s south, 7.39 m/s north 2 5.30 m/s south, 2.05 m/s north 3 4.85 m/s north, 3.20 m/s south 4. 5.10 m/s north, 2.89 m/s south

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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3.
the collision.
The conservation of the total momentum before and after the collision is expressed by:
m2 2 lu = in?u + In lu
Likewise, the conservation of the total kinetic energy is expressed by:
Eatru + a lu = ntu + lu
These equations may be solved directly to find v1, v2 when u1, u2 are known:
Tu - lu
+ In
Zu + Tu
u2
mị + m2
2m1
+In-
Tu + Tu
7n-
u + Tu
v2
(1) 2.41 m/s south, 7.39 m/s north
2
5.30 m/s south, 2.05 m/s north
4.85 m/s north, 3.20 m/s south
4
5.10 m/s north, 2.89 m/s south
Transcribed Image Text:3. the collision. The conservation of the total momentum before and after the collision is expressed by: m2 2 lu = in?u + In lu Likewise, the conservation of the total kinetic energy is expressed by: Eatru + a lu = ntu + lu These equations may be solved directly to find v1, v2 when u1, u2 are known: Tu - lu + In Zu + Tu u2 mị + m2 2m1 +In- Tu + Tu 7n- u + Tu v2 (1) 2.41 m/s south, 7.39 m/s north 2 5.30 m/s south, 2.05 m/s north 4.85 m/s north, 3.20 m/s south 4 5.10 m/s north, 2.89 m/s south
A bumper car of mass 125 kg, moving at 6.30 m/s to the north, collides 100% elastically, head-on, with a second bumper
car of mass 100 kg moving at 3.50 m/s to the south. What are the velocities of the first and second bumper cars
respectively?
Note: the following may come in handy here! In these formulas, uj and uz are the velocities of the two cars before the
collision, and v and v, are the velocities after the collision.
VI
The conservation of the total momentum before and after the collision is expressed by:
m1u1 + m2 U2 = m1v1 + m2v2.
Likewise, the conservation of the total kinetic energy is expressed by:
m už +mzu = mvf +m.
These equations may be solved directly to find v1, v2 when u1, u2 are known:
2m2
m2
U1 +
mị + m2
mị
mị + m2
2m1
m2 – mị
-
U1 +
mị + m2
V2
m1 + m2
1-
2.41 m/s south, 7.39 m/s north
Save for Later
Transcribed Image Text:A bumper car of mass 125 kg, moving at 6.30 m/s to the north, collides 100% elastically, head-on, with a second bumper car of mass 100 kg moving at 3.50 m/s to the south. What are the velocities of the first and second bumper cars respectively? Note: the following may come in handy here! In these formulas, uj and uz are the velocities of the two cars before the collision, and v and v, are the velocities after the collision. VI The conservation of the total momentum before and after the collision is expressed by: m1u1 + m2 U2 = m1v1 + m2v2. Likewise, the conservation of the total kinetic energy is expressed by: m už +mzu = mvf +m. These equations may be solved directly to find v1, v2 when u1, u2 are known: 2m2 m2 U1 + mị + m2 mị mị + m2 2m1 m2 – mị - U1 + mị + m2 V2 m1 + m2 1- 2.41 m/s south, 7.39 m/s north Save for Later
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