As shown in the figure, a billiard ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m, moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 8 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ = 0.300 kg.) a my = Before the collision Vi m2 b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s vyysin 0 Vaf sin o v cos 41 Vof Cos √2f (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AK| K₁

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Chapter8: Momentum And Collisions
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As shown in the figure, a billiard ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second billiard ball
with mass m₂ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the
collision, m₁ moves with speed 1.00 m/s at an angle of 8 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and
= 0.300 kg.)
m₂
a
m₁
=
Before the collision
Vii
m₂
b
After the collision
(a) Determine the speed (in m/s) of the 0.300 kg ball after the collision.
m/s
vf sin 0
of sin o
"If cos
Fif
Vof Cosp
3₂f
(b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.
|AK|
K;
Transcribed Image Text:As shown in the figure, a billiard ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m₂ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 8 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and = 0.300 kg.) m₂ a m₁ = Before the collision Vii m₂ b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s vf sin 0 of sin o "If cos Fif Vof Cosp 3₂f (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AK| K;
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