Question

A cart with mass 260 g moving on a frictionless linear air track at an initial speed of 1.4 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.84 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass? (a) Number Units (b) Number Units (c) Number Units

Answer 1

olution mass of Cart (m.) = 260g velocity of Cart (U,) = 1.4 m/s led mass of initially notationary antolm Applying mini + M.U. 2 = min't mida velocity of initially stationary velocity of cart of mass mi After Collision Linear momentum conservation vi' Cart after collision after collision 260x 1.4 + m2x0 = 2608 0.84 + mgų M₂ V₂' = 145.6 The Kinetic 1x 2604 Energ will be Conserve before and after the collision. 1.48 + aux mz futro 2 mavi? flox + ma Uz' ? t th mau ?? Given Data mi= 260g 2 v' = 0 0.8 4ms S On solving v 1.4 mls 254.6 91.728 ma V,'? = 32614 Equation 0 & @ 145.6 = 326:14 Val (b @ UE 2.24 m/s 2 хv, mass (m2) = 659 5 speed of Center of maus) minit me vž mitm₂ 260x 0.84 + 65x2.94 260 +65 S = 1'12 mis