A) A solid block of mass m 2 = 1.9 kg, at rest on a horizontal frictionless surf

Question

A) A solid block of mass m2 = 1.9 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 290 N/m whose other end is fixed. Another solid block of mass m1 = 2.6 kg and speed v1 = 4.9 m/s collides with the 1.9 kg block. If the blocks stick together, what is their speed immediately after the collision?

B) What is the maximum compression of the spring?

A solid block of mass m2 = 1.9 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 290 N/m whose other end is fixed. Another solid block of mass m1 = 2.6 kg and speed v1 = 4.9 m/s collides with the 1.9 kg block. If the blocks stick together, what is their speed immediately after the collision?

Explanation / Answer

a). from momentum conservation; m1*v1 = (m1+m2)*v 2.6* 4.9 = (2.6 +1.9) *v v= 2.83 m/s b).from energy conservation; 0.5*k*x^2 = 0.5*(m1 +m2)*v^2 290*x^2 = (2.6 +1.9)* 2.83^2 x = 0.353 m

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