A ball with a diameter of 5 cm is released from rest and does not slip as it rolls down a curved ramp from a height of ho. The ball collides with a ramp of mass 300g connected to a spring of negligible mass. This launches the ball a vertical height of h₂ while compressing the spring 18.7 mm. With the coefficient of restitution between the ball and the ramp being 0.8, neglecting the friction between the ramp and the floor, and knowing that the ball rotates at a constant angular velocity as it is launched until It reaches h₂, find h₂. Neglect air resistance. ho h₂ {} Vball 80⁰ mw 18.7 mm k = 20 N/mm

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A ball with a diameter of 5 cm is released from rest and does not slip as it rolls down a curved
ramp from a height of ho. The ball collides with a ramp of mass 300g connected to a spring of
negligible mass. This launches the ball a vertical height of h₂ while compressing the spring 18.7
mm. With the coefficient of restitution between the ball and the ramp being 0.8, neglecting the
friction between the ramp and the floor, and knowing that the ball rotates at a constant angular
velocity as it is launched until It reaches h₂, find h₂. Neglect air resistance.
ho
OF
h₂
Vball
80⁰
3
my
18.7 mm
k = 20 N/mm
Transcribed Image Text:A ball with a diameter of 5 cm is released from rest and does not slip as it rolls down a curved ramp from a height of ho. The ball collides with a ramp of mass 300g connected to a spring of negligible mass. This launches the ball a vertical height of h₂ while compressing the spring 18.7 mm. With the coefficient of restitution between the ball and the ramp being 0.8, neglecting the friction between the ramp and the floor, and knowing that the ball rotates at a constant angular velocity as it is launched until It reaches h₂, find h₂. Neglect air resistance. ho OF h₂ Vball 80⁰ 3 my 18.7 mm k = 20 N/mm
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