The efficiency of the electrical motor is 97.5%, calculated as the ratio of useful kinetic energy output (975 J) to the total chemical potential energy input (1000 J).
The efficiency of an electrical motor is a measure of how effectively it converts input energy into useful output energy. In this case, the motor transforms 1000 joules of chemical potential energy into different forms. The useful output energy is the kinetic energy, which amounts to 975 joules. The wasted energy, in the form of heat and sound, accounts for the remaining 25 joules.
Efficiency (η) is defined as the ratio of useful output energy to the total input energy, expressed as a percentage. Mathematically, η= Useful Output Energy/Total Input Energy ×100%.
Substituting the given values, the efficiency of the electrical motor is calculated as η= 975/1000×100%, resulting in an efficiency of 97.5%. This indicates that 97.5% of the chemical potential energy input is successfully converted into kinetic energy, while 2.5% is lost as wasted heat and sound energy. A high efficiency value signifies a more effective and less wasteful energy conversion process.