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Laws of Motion: Contact force between two blocks

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Please see the file attached. Its one problem #5. Please help me in solving the problem stepwise.

Two blocks of masses m1=20kg and m2=10kg are being pushed against each other on a flat frictionless tables with a horizontal force of P=600N, as shown below.

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Solution Summary

Two blocks of different masses are placed on a frictionless table and a force is pushing them. The free body diagram, the acceleration and the contact force between the two blocks are given.