med as the ratio of the speed of separation v' to the speed of approach may be written as (7.5.4) e of e depends primarily on the composition and physical makeup of easy to verify that in an elastic collision the value of € = 1. To do this, tion 7.5.2b and solve it together with Equation 7.5.3 for the final veloc- left as an exercise. x₂ 2 |x₂-x²| _v² = |x₂-x₁| 1 totally inelastic collision, the two bodies stick together after collid- r most real bodies e has a value somewhere between the two extremes y billiard balls it is about 0.95. The value of the coefficient of restitu- d on the speed of approach. This is particularly evident in the case of known as Silly Putty. A ball of this material bounces when it strikes gh speed, but at low speeds it acts like ordinary putty. te the values of the final velocities from Equation 7.5.3 together with e coefficient of restitution (Equation 7.5.4). The result is x₁ = = V (m₂-em₂)x₁ + (m₂ + m₂)x₂ m₁ + m₂ (m₂ +em₁)x₂ + (m₂-em₁)x₂ m₂ + m₂ (7.5.5)
med as the ratio of the speed of separation v' to the speed of approach may be written as (7.5.4) e of e depends primarily on the composition and physical makeup of easy to verify that in an elastic collision the value of € = 1. To do this, tion 7.5.2b and solve it together with Equation 7.5.3 for the final veloc- left as an exercise. x₂ 2 |x₂-x²| _v² = |x₂-x₁| 1 totally inelastic collision, the two bodies stick together after collid- r most real bodies e has a value somewhere between the two extremes y billiard balls it is about 0.95. The value of the coefficient of restitu- d on the speed of approach. This is particularly evident in the case of known as Silly Putty. A ball of this material bounces when it strikes gh speed, but at low speeds it acts like ordinary putty. te the values of the final velocities from Equation 7.5.3 together with e coefficient of restitution (Equation 7.5.4). The result is x₁ = = V (m₂-em₂)x₁ + (m₂ + m₂)x₂ m₁ + m₂ (m₂ +em₁)x₂ + (m₂-em₁)x₂ m₂ + m₂ (7.5.5)
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How from the first equation and eq. 7.5.4 we got equation 7.5.5? Could you show the process
Transcribed Image Text:ned as the ratio of the speed of separation v' to the speed of approach
may be written as
| x₂ − x ₁ |_v²
-
2
| x₂-x₁ | 0
2
x ₂2:
e of e depends primarily on the composition and physical makeup of
easy to verify that in an elastic collision the value of € = 1. To do this,
ation 7.5.2b and solve it together with Equation 7.5.3 for the final veloc-
left as an exercise.
(7.5.4)
a totally inelastic collision, the two bodies stick together after collid-
r most real bodies e has a value somewhere between the two extremes
y billiard balls it is about 0.95. The value of the coefficient of restitu-
ad on the speed of approach. This is particularly evident in the case of
d known as Silly Putty. A ball of this material bounces when it strikes
gh speed, but at low speeds it acts like ordinary putty.
te the values of the final velocities from Equation 7.5.3 together with
e coefficient of restitution (Equation 7.5.4). The result is
x₁ =
(m₁-em₂) x₁ + (m₂ + m₂)x₂
m₁ + m₂
(m₁ +em₁ )x₁ + (m₂-em₁)x₂
m₂ + m₂
(7.5.5)
hould that r = r that
Transcribed Image Text:momentum balance equation (Equation 7.5.1b) can be written
m₁₂x₁ + m₂x₂ = m₁x₁ + m₂x₂
2
2
ng the line of motion is given by the signs of the x's.
he values of the velocities after the collision, given the value
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