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Perfectly Elastic Oblique Collision

Let two bodies are moving as shown in Fig. 6.
Fig. 6
By law of conservation of momentum
In case of oblique collision it becomes difficult to solve problem when some experimental data are provided as in these situations more unknown variables are involved than equations formed.
Special condition If m1 = m2 and u2 = 0, substituting these values in equation (13), (14), and (15), we get
Squaring (16) and (17) and adding, we get
i.e., after perfectly elastic oblique collision of two bodies of equal masses (if the second body is at rest), the scattering angle (θ + φ) would be 90°.

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