Ball 1 has a mass of 2.0 kg and is suspended with a 3.0 m rope from a post so that the ball is stationary. Ball 2 has a mass of 4.0 kg and is tied to another rope. The second rope also measures 3.0 m but is held at a 60.00 angle, as shown in Figure below. When ball 2 is released, it collides head-on, with ball 1 in an elastic collision.

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Chapter1: Units, Trigonometry. And Vectors
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Ball 1 has a mass of 2.0 kg and is suspended with a 3.0 m rope from a post so that the ball
is stationary. Ball 2 has a mass of 4.0 kg and is tied to another rope. The second rope also
measures 3.0 m but is held at a 60.00 angle, as shown in Figure below. When ball 2 is
released, it collides head-on, with ball 1 in an elastic collision.
3.0 m
60.0⁰
3.0 m
2
4.0 kg
1
2.0 kg
So far Ek = Eg
1/2 m2 V₁2² = m2gAy
Vf₁
=
(m₁-m₂/m₁ + m2)vi1 + (2m2/m1 + m2) V₁2
Vf2 = (m₂-mi/m₁ + m2)vi2 + (2m₁ /m₁ + m2) vil
For the second part, you need to calculate the Eg₁ = Eki and Eg2 = Ek2, substitute the value of h
and find the h maximum for 1 and 2 balls.
Transcribed Image Text:Ball 1 has a mass of 2.0 kg and is suspended with a 3.0 m rope from a post so that the ball is stationary. Ball 2 has a mass of 4.0 kg and is tied to another rope. The second rope also measures 3.0 m but is held at a 60.00 angle, as shown in Figure below. When ball 2 is released, it collides head-on, with ball 1 in an elastic collision. 3.0 m 60.0⁰ 3.0 m 2 4.0 kg 1 2.0 kg So far Ek = Eg 1/2 m2 V₁2² = m2gAy Vf₁ = (m₁-m₂/m₁ + m2)vi1 + (2m2/m1 + m2) V₁2 Vf2 = (m₂-mi/m₁ + m2)vi2 + (2m₁ /m₁ + m2) vil For the second part, you need to calculate the Eg₁ = Eki and Eg2 = Ek2, substitute the value of h and find the h maximum for 1 and 2 balls.
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