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Questions and Answers
Which of the following is not a type of collision based on the conservation of kinetic energy?
Which of the following is not a type of collision based on the conservation of kinetic energy?
- Perfectly elastic collision
- Non-elastic collision (correct)
- Perfectly inelastic collision
- Inelastic collision
During a perfectly elastic collision, the coefficient of restitution (e) equals 0.
During a perfectly elastic collision, the coefficient of restitution (e) equals 0.
False (B)
What is the coefficient of restitution (e) for a perfectly inelastic collision?
What is the coefficient of restitution (e) for a perfectly inelastic collision?
0
The formula for the coefficient of restitution (e) is given by e = (v2 - v1) / (u1 - u2). This measures the _____ of a collision.
The formula for the coefficient of restitution (e) is given by e = (v2 - v1) / (u1 - u2). This measures the _____ of a collision.
What happens to the velocities of two bodies of equal mass during a head-on elastic collision?
What happens to the velocities of two bodies of equal mass during a head-on elastic collision?
What is the relative velocity of approach of two colliding bodies defined as (u1 - u2)?
What is the relative velocity of approach of two colliding bodies defined as (u1 - u2)?
For a body dropped from height 'h', the rebound height 'h'' is related by e = _____√(h'/h).
For a body dropped from height 'h', the rebound height 'h'' is related by e = _____√(h'/h).
If a freely falling ball rebounds with a velocity V', what is the formula for the coefficient of restitution?
If a freely falling ball rebounds with a velocity V', what is the formula for the coefficient of restitution?
What is the total distance covered by a body before coming to rest, according to the formula?
What is the total distance covered by a body before coming to rest, according to the formula?
What is the equation for the total time taken by a body to come to rest?
What is the equation for the total time taken by a body to come to rest?
What is the loss in kinetic energy of the system if two bodies are approaching each other?
What is the loss in kinetic energy of the system if two bodies are approaching each other?
What is the loss in kinetic energy of the system in a perfectly inelastic collision?
What is the loss in kinetic energy of the system in a perfectly inelastic collision?
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Study Notes
Types of Collisions
- Elastic Collision: Kinetic energy is conserved. Coefficient of restitution (e) is 1.
- Inelastic Collision: Kinetic energy is not conserved. 0 < e < 1.
- Perfectly Inelastic Collision: Kinetic energy is not conserved. Colliding objects stick together. e = 0.
Coefficient of Restitution
- Measures the elasticity of a collision.
- Defined as the ratio of relative velocity of separation to the relative velocity of approach.
- Formula: e = (v2 - v1) / (u1 - u2)
Rebound Height
- A body dropped from height 'h' rebounds to height h'.
- e = $\sqrt{\frac{h'}{h}}$
- After nth rebound, hn = e2nh
Rebound Velocity
- A freely falling ball strikes the ground with velocity 'V' and rebounds with velocity V'.
- e = $\frac{V'}{V}$
- After nth rebound, Vn = enV
Total Distance and Time
- Total distance covered by a body before coming to rest: s = $h \frac{1+e^2}{1-e^2}$
- Total time taken by a body to come to rest: T = $\sqrt{\frac{2h}{g}} \frac{1+e}{1-e}$
Kinetic Energy Loss
- For bodies approaching each other, the loss of kinetic energy ΔK.E = $\frac{1}{2} \frac{m_1 m_2}{(m_1 + m_2)}(u_1 + u_2)^2$
- In a perfectly inelastic collision, the loss in kinetic energy ΔK.E = $\frac{1}{2} \frac{m_1 m_2}{(m_1 + m_2)}(u_1 - u_2)^2$
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