1. A solid block of mass m2 = 2.3 kg, at rest on a horizontal frictionless surfa

Question

1. A solid block of mass m2 = 2.3 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 210 N/m whose other end is fixed. Another solid block of mass m1 = 1.4 kg and speed v1 = 1.2 m/s collides with the 2.3 kg block. If the blocks stick together, what is their speed immediately after the collision?

2. What is the maximum compression of the spring?

1. A solid block of mass m2 = 2.3 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 210 N/m whose other end is fixed. Another solid block of mass m1 = 1.4 kg and speed v1 = 1.2 m/s collides with the 2.3 kg block. If the blocks stick together, what is their speed immediately after the collision? 2. What is the maximum compression of the spring?

Explanation / Answer

1)

initial momentum = final momentum

m1*v1 + m2*v2 = (m1+m2)*V

(1.4*1.2)+0 = (1.4+2.3)*V

V = 0.454 m/s

2) PE = KE

0.5*k*x^2 = 0.5*(m1+m2)*V^2

210*x^2 = (2.3+1.4)*0.454*0.454

x = 0.0603 m = 6.03 cm

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