How do you calculate the coefficient of restitution?

Answer 1

The coefficient of restitution often denoted #e# can be found with some notion of Newton's Experimental Law.

This law states that: "in a system of colliding bodies(usually 2 bodies) the relative velocity of separation is directly proportional to the relative velocity of approach".

Mathematically expressed, #V_A-V_B alpha U_A-U_B # #or V_B-V_A alpha U_B-U_A# For a system of colliding bodies #"A"# and #"B"#

The constant of proportionality is #-e# Thus we have,

#V_A-V_B =-e (U_A-U_B) #

#=> e=-(V_A-V_B)/( U_A-U_B )#

Thus, all you need to calculate e are the respective initial and final velocities of the two bodies involved in collision.

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Answer 2

Amelia Adams

The coefficient of restitution (( e )) is calculated using the formula:

[ e = \frac{{\text{Relative velocity of separation}}}{{\text{Relative velocity of approach}}} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.