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As the drawing illustrates, two disks with masses m1 and m2 are moving horizonta

ID: 2110620 • Letter: A

Question

As the drawing illustrates, two disks with masses m1 and m2 are moving horizontally to the right at a speed of v0. They are on an airhockey table, which supports them with an essentially frictionless cushion of air. They move as a unit, with a compressed spring between them, which has a negligible mass. Then the spring is released and allowed to push the disks outward. Consider the situation where disk 1 comes to a momentary halt shortly after the spring is released. Assuming that m1 = 1.4 kg, m2 = 2.3 kg, and v0 = +4.8 m/s, find the velocity of disk 2 at that moment

Explanation / Answer

According to law the linear momentum is conserved, So Pf = Po => (m1 x vf1) + (m2 x vf2) = (m1 x vo1) + (m2 x vo2) Therefore, (1.4 x 0) + (2.3 x vf2) = (1.4 x 4.8) + (2.3x 4.8) 2.3 x vf2 = 17.76 vf2 = 7.7217 m/s