A measure of inelasticity in a head-on collision of

Chapter 9, Problem 9.49

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A measure of inelasticity in a head-on collision of twoobjects is the coefficient o f restitution, e, defined ase = Va ~ vbvb ~ v awhere vA vB is the relative velocity of the two objects afterthe collision and vA is their relative velocity before it.(a) Show that e = 1 for a perfectly elastic collision, ande = 0 for a completely inelastic collision, (b) A simplemethod for measuring the coefficient of restitution for anobject colliding with a very hard surface like steel is to dropthe object onto a heavy steel plate, as shown in Fig. 9-41.Determine a formula for e interms of the original height hand the maximum height h'reached after collision.FIGURE 9-41 49.Measurement of coefficientof restitution.

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