In this paper, we analyze the effect of cohesion energy in solids on the mechanical properties and the lattice dynamics by employing the general equation of cohesion energy U(r)=-Arm+Brn. The dependence of the bulk elastic modulus, force constant, velocity of sound, Debye temperature, melting temperature, and thermal expansion coefficient is given. This work can help students to better understand the relation between the lattice dynamics and the cohesion energy in studies of solid state physics.