A cart with mass 500 g moving on a frictionless linear air track at an initial speed of 1.6 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 1 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? assume g= 10m/s^2

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A cart with mass 500 g moving on a frictionless linear air track at an initial speed of 1.6
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 1 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?

assume g= 10m/s^2

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