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Questions and Answers
What does the coefficient of restitution measure in a collision?
What does the coefficient of restitution measure in a collision?
In a perfectly elastic collision, what value does the coefficient of restitution have?
In a perfectly elastic collision, what value does the coefficient of restitution have?
How does a high coefficient of restitution (COR) affect a ball's bounce?
How does a high coefficient of restitution (COR) affect a ball's bounce?
What influences the coefficient of restitution (COR)?
What influences the coefficient of restitution (COR)?
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If two objects collide and rebound to the same height and velocity, what is the coefficient of restitution for that collision?
If two objects collide and rebound to the same height and velocity, what is the coefficient of restitution for that collision?
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What is the coefficient of restitution for a perfectly inelastic collision?
What is the coefficient of restitution for a perfectly inelastic collision?
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Which factor would NOT decrease the resistance to rotational motion of a body according to the text?
Which factor would NOT decrease the resistance to rotational motion of a body according to the text?
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How does altering the radius affect the moment of inertia of a body?
How does altering the radius affect the moment of inertia of a body?
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What effect does extending the body during rotation have on the resistance to rotational movement?
What effect does extending the body during rotation have on the resistance to rotational movement?
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What does angular velocity measure in relation to a body's motion?
What does angular velocity measure in relation to a body's motion?
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How can a gymnast increase angular velocity during rotation?
How can a gymnast increase angular velocity during rotation?
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What modification could be made to sporting equipment to reduce its moment of inertia?
What modification could be made to sporting equipment to reduce its moment of inertia?
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How can adults increase velocity and angular momentum at the point of impact when playing sports like tennis, golf, and cricket?
How can adults increase velocity and angular momentum at the point of impact when playing sports like tennis, golf, and cricket?
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Which position is hardest to rotate due to its high MOI?
Which position is hardest to rotate due to its high MOI?
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In throwing, how does reducing MOI help in achieving a better projectile motion?
In throwing, how does reducing MOI help in achieving a better projectile motion?
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Which action alters the MOI of a rotating body like a diver or gymnast?
Which action alters the MOI of a rotating body like a diver or gymnast?
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What is the role of mass distribution in relation to MOI when performing a triple somersault or ice skating spin?
What is the role of mass distribution in relation to MOI when performing a triple somersault or ice skating spin?
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Study Notes
Coefficient of Restitution
- Measures the elasticity of the collision between an object and a given surface, represented as a number between 0 and 1
- 1 = perfectly elastic collision, 0 = perfectly inelastic collision, and 0-1 = imperfectly elastic collision
- Influenced by temperature, equipment and surfaces, and velocity
- A high coefficient of restitution (COR) means a high bouncing ball, while a low COR means a low bouncing ball
- A COR of 1 means the object rebounds to the same height/velocity, while a COR of 0 means no rebound
Moment of Inertia (MOI)
- Resistance of a body to rotational movement, calculated as mass x radius2
- Less mass of a body decreases the resistance to rotational motion, while increasing the radius increases the moment of inertia
- Altering the radius leads to a change in MOI, such as a gymnast tucking their head in during a somersault to decrease MOI
Angular Velocity
- The rate of change in angular position of a body, influenced by the moment of inertia
- Increasing the radius of rotation slows rotational movement, increasing MOI, while decreasing the radius increases angular velocity
- Examples include a gymnast tucking their body during rotation to increase angular velocity, or untucking to slow it down
Modifications and Applications
- Modifications made to sporting equipment, such as shortening tennis racquets or golf clubs, reduce MOI and make it easier to use
- The moment of inertia of the human body can be altered in various sports, such as throwing, diving, dancing, and gymnastics
- Techniques used to reduce MOI include bending at the elbow, tucking, and piking, while increasing MOI involves layouts, and spreading arms or legs
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Description
Test your knowledge on the characteristics of interacting bodies affecting the coefficient of restitution in sports equipment and surfaces. Explore topics like linear kinetics, energy conservation, and the bounciness of objects in collisions.