Quick diagnostic test
12 questions across 4 concepts. No sign-up, no time limit.
Why these show up together
The student must first set up the mechanical energy conservation equation equating total initial energy to the sum of potential and kinetic energies at the intermediate height. Once the position is determined from the energy ratio, kinematics of free fall is applied to find the corresponding instantaneous velocity.
Why these show up together
The dimensional formula for the universal gravitational constant is deduced from Newton's law of gravitation and combined with the dimensional formula for energy. Dividing the two expressions simplifies to give the dimensional formula of the ratio E/G.