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Velocity Displacement Relationship

Co-efficient ...

Question

Co-efficient of restitution is defined as the ratio of

A

Velocity of separation and approach

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B

Velocity of approach and separation

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C

Ratio of velocity of objects

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D

None

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Solution

The correct option is A Velocity of separation and approach
e = coefficient of restitution $= \frac{V e l o c i t y s e p a r a t i o n}{V e l o c i t y o f a p p r o a c h .}$
So, option (a)

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Similar questions

Q. Assertion (A) : The value of coefficient of restitution is independent of the masses and velocities of the colliding bodies but depends on their materials.
Reason (R) : Coefficient of restitution is the ratio of the relative velocity of separation or the relative velocity of approach

Q. In two separate collisions, the coefficients of restitution are

e_{1}

e_{2}

are in the ratio

3 : 1

. In the first collision the relative velocity of approach is twice the relative velocity of separation, then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is :

Q. A sphere of mass m moving with a constant velocity collides with another stationary sphere of same mass. The ratio of velocities of two spheres after collision will be, if the co-efficient of restitution is e:

Q. Match the following

List - I	List - II
a) Relative velocity of approach and separation are same	e) Interaction between bodies
b) Bodies stick together	f) Newton's III law
c) Force	g) Coefficient of restitution $=$ 1
d) Recoil of the gun	h) Coefficient of restitution $=$ 0
	i) Binding energy

Q. Assertion :Velocity time graph of two particles undergoing head-on collsion is shown in the figure. If collision is inelastic then value of y must be less than x. Reason: Coefficient of restitution(e)

= \frac{| velocity of separation |}{| velocity of approach |}

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