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In a physics lab, two dynamics carts, A and B, glide on track and collide head on. Before the collision, their speeds are \( 2.0 \mathrm{~m} / \mathrm{s} \) and \( 3.0 \mathrm{~m} / \mathrm{s} \), respectively. After the collision they have both reversed direction, with cart A moving at \( 0.50 \mathrm{~m} / \mathrm{s} \) and cart B moving at \( 1.5 \) \( \mathrm{m} / \mathrm{s} \). Find the ratio, \( \mathrm{m}_{\mathrm{a}} / \mathrm{m}_{\mathrm{b}} \), of the two masses.

Given A and B collide head on , their speed before collision is ua=2ms,ub=3ms After coll