Energy Energy is conserved! not created. not destroyed, may change type may be transferred from one object to another. One way to transfer energy is through work
Work Work is the transfer of energy to an object by applying external force. Work is not a vector. It has a sign, but no direction in space. The work done by a force, on an object, is positive if the force is giving energy to the object. is negative if it decreases the object’s energy
Kinetic and Potential Energy The kinetic energy of an object, moving at speed, v is The gravitational energy of an object, at height h is
Conservation of Energy The work-energy theorem says If no external force does any work on an object (or system), then W=0 The total energy of the object is unbchanged Ef=Ei
Conservation Example A 1-kg weight is dropped from a height of 1 m. Another 1 kg weight is allowed to slide down a frictionless ramp from a height of 1m. Find the speed at the bottom in each case Use: Ui=9.8 J in both cases, Ki=0 in both cases. Uf=0 in both cases. Plug into eqn above Kf = 9.8 J in both cases =½ mv 2 Vf=4.4 m/s in BOTH CASES if it weren’t for friction, both masses would achieve the same speed