Q. Two identical 0.13 kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, where x2 = 0.04 m. Then a constant force of 12 N to the right is applied to block 2, and at a later time the blocks are in the new positions, where x1 = 0.01 m and x3 = 0.12 m. At this final time, the system is moving to the right and also vibrating, and the spring is stretched.
What is the change in energy of the real system?
Δ(Ktot + U) = 12*0.08 J
What is (Ktot + U)final for the real system?
(Ktot + U)final = 12*0.08 J
What is the final translational kinetic energy of the real system?
Ktrans,final = 12*0.045 J
What is the final speed of the center of mass of the real system?
vcm,final = 2.038 m/s
What is the final vibrational energy of the real system (spring potential energy plus kinetic energy relative to the center of mass)?
(U + Krel)final = _______ J