If two books were elevated at different levels before being dropped, which would have the most stored energy? Once dropped, which would have the greatest velocity?
Well, the book that is higher up would have a greater stored energy and a greater velocity. This is because of potential and kinetic energy.
Potential and Kinetic Energy
Firstly what is potential energy? Potential Energy is energy due to the position of an object, with respect to another position. In order to calculate that for an object that is above the earth, the gravitational potential energy equation would be used, which is Ug = m*g*y. M is the mass of the object while g is the gravitational acceleration and y is the height of its release. This equation could be applied onto this ball.
Another form of potential energy is called spring potential energy. This is calculated by the distance of the elastic potential energy from equilibrium. The equation for this would be Us =(1/2) k (x) ^2. K is a spring constant with a unit of newtons/meter and x is the displacement of the spring.
An object in motion, however, has a different form of energy called kinetic energy. The kinetic energy of a moving object can be determined by the equation KE= (1/2)m*v^2, where m is the mass of the object and v is its velocity. This can be calculated on the dropping ball. The work equation W=F*d could also be used to demonstrate kinetic energy, where F is force and d is displacement.
Kinetic and potential energy go hand in hand with the movement of an object. In the demonstration the pendulum, if air resistance was negligible, the transfer of exact kinetic to potential energy would be shown. The object being stagnant at the top show potential energy while once it is in motion, portrays kinetic energy; this is a combination of what we've learned in this video.