A cart moving at on a frictionless track collides and locks together with a cart…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A 2.0 kg2.0\,\text{kg} cart moving at 4.0 m/s4.0\,\text{m/s} on a frictionless track collides and locks together with a 1.0 kg1.0\,\text{kg} cart initially at rest. The collision lasts 0.20 s0.20\,\text{s}, and no external horizontal forces act. Determine (i) the velocity of the combined carts immediately after they stick together and (ii) the distance traveled by the system’s center of mass during the collision interval.

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