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Blocks A and B have masses 2 and 3 kg, respectively and are resting on a frictio

ID: 1788057 • Letter: B

Question

Blocks A and B have masses 2 and 3 kg, respectively and are resting on a frictionless surface. The blocks are pressed together, compressing a spring between them. the spring constant is k=300 N/m and the spring is compressed 5 cm. what are the final velocities of the two masses if they were released?

5. Blocks A and B have masses 2 and 3 kg, respectively and are resting on a frictionless surface. The blocks are pressed together, compressing a spring between them. The spring constant is k-300 N/m and the spring is compressed 5 cm. What are the final velocities of the two masses if they are released?

Explanation / Answer

Reduced mass, m = m1m2/(m1+m2) = 2*3/(2+3) = 1.2 Kg

Energy conservation

0.5Kx^2 = 0.5 m V^2

0.5*300*0.05*0.05= 0.5*1.2*V^2

V= 0.79 m/sec (ans)