A perfectly elastic ball bounces against a surface with a velocity vo = 2.4 m/s at an angle 80 = 45 degrees to the vertical. As a result of the impact, the ball bounces upward at an angle 0₁ = 23.2 degrees but also gains a topspin w₁ = 152 rad/s due to the rough surface. The ball has mass m = 10 grams and radius R = 16 mm. The moment of inertia of a solid sphere is /G = (2 m R2)/5. The coefficient of restitution for the impact e = 1, so that energy can be assumed to be conserved during impact. w₁ = 0 Vo W₁ Calculate the magnitude of the velocity v₁ of the ball after impact. O V = 2.85 m/s OV=2.4 m/s OV= 1.84 m/s O V 1.67 m/s V₁

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A perfectly elastic ball bounces against a surface with a velocity vo = 2.4 m/s at an angle 0o = 45 degrees to the vertical. As a result of the impact, the
ball bounces upward at an angle 0₁ = 23.2 degrees but also gains a topspin w₁ = 152 rad/s due to the rough surface. The ball has mass m = 10 grams
and radius R = 16 mm. The moment of inertia of a solid sphere is /G = (2 m R²) / 5. The coefficient of restitution for the impact e = 1, so that energy can
be assumed to be conserved during impact.
g
W₁ = 0
Vo
0₁
W₁
Calculate the magnitude of the velocity v₁ of the ball after impact.
Ov=2.85 m/s
O V = 2.4 m/s
O V = 1.84 m/s
O V = 1.67 m/s
V₁
Transcribed Image Text:A perfectly elastic ball bounces against a surface with a velocity vo = 2.4 m/s at an angle 0o = 45 degrees to the vertical. As a result of the impact, the ball bounces upward at an angle 0₁ = 23.2 degrees but also gains a topspin w₁ = 152 rad/s due to the rough surface. The ball has mass m = 10 grams and radius R = 16 mm. The moment of inertia of a solid sphere is /G = (2 m R²) / 5. The coefficient of restitution for the impact e = 1, so that energy can be assumed to be conserved during impact. g W₁ = 0 Vo 0₁ W₁ Calculate the magnitude of the velocity v₁ of the ball after impact. Ov=2.85 m/s O V = 2.4 m/s O V = 1.84 m/s O V = 1.67 m/s V₁
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