••An air-track cart of mass m1 = 0.14 kg is moving with a speedv0 = 1.3 m>s to the right when it collides with a cart of massm2 = 0.25 kg that is at rest. Each cart has a wad of putty on its bumper, and hence they stick together as a result of their collision. Suppose the average contact force between the carts is F = 1.5 N duringthe collision. (a) What is the acceleration of cart 1? Give directionand magnitude. (b) What is the acceleration of cart 2? Give direction and magnitude. (c) How much time does it take for both cartsto have the same speed? (Once the carts have the same speed thecollision is over and the contact force vanishes.) (d) What is the finalspeed of the carts, vf? (e) Show that m1v0 is equal to 1m1 + m22vf

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