Tennis Kinematics Transient Analysis: A Ball Spin & Racket Collision Description by Miltiadis A. Boboulos - HTML preview

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S₁ = −S₂ = −() ()^{m .}^m v₁ −v_{2 . m1 + m2}

7.2.3 Kinetic energy loss for direct collision

The kinetic energy loss during a direct collision is important to be estimated in the cases when it is necessary to make a model of the actual collision between the ball and the tennis racket, because in actual conditions the latter is not stationary [22]. This can be determined using the following expression:

u
²m₂u²m₁v²m₂v²
Δ

E
k

=
E

k
1

−
E

k
0

1 2 1 2

₂+₂−₂−₂ (Eq. 11) this after being transformed becomes as follows:

E
k

=
−

Tennis Kinematics Transient Analysis: A Ball Spin & Racket Collision Description by Miltiadis A. Boboulos - HTML preview

S1 = −S2 = −() ()m .m v1 −v2 . m1 + m2

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S₁ = −S₂ = −() ()^{m .}^m v₁ −v_{2 . m1 + m2}