A ball is released from rest and falls in under uniform gravity (air resistance ignored)

PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Lagrangian mechanics · Lagrangian mechanics

Action and Symmetry, Ch Symmetry, Noether's theorem and what is conserved

Problem

A ball is released from rest and falls

1.00\ \mathrm{m}

0.452\ \mathrm{s}

under uniform gravity (air resistance ignored). Uniform gravity is a potential homogeneous of degree

\nu=1

. Using mechanical similarity, find how long the same ball takes to fall, from rest, through

9.00\ \mathrm{m}

in the same field.