  According to Verlinde's recent proposal, the gravity is originally an
entropic force. In this work, we obtain the corrections to the entropy-area law
of black holes within rainbow gravity. The corrected entropy-area law leads to
the modifications of the number of bits $N$. Inspired by Verlinde's argument on
the entropic force, and using the modified number of bits, we can investigate
the effects of rainbow gravity on the modified Newtonian dynamics, Newton's law
of gravitation, and Einstein's general relativity in entropic force approach.
