Evaluating Work and Power in a Heat Engine
A reversible heat engine operates between a high-temperature and a low-temperature reservoir. In each cycle, the engine absorbs a certain amount of heat and rejects a portion of it, resulting in a net work output. Answer the following:
Energy Conservation in a Battery-Resistor Circuit
A simple electrical circuit consists of an ideal battery connected in series with a resistor of resistance \(R\). Explain how the principle of conservation of energy applies to this circuit. Your explanation should describe the energy transformations starting from the energy source.
Spring Stretch and Energy Storage
A spring is suspended vertically from a fixed support. When a force of 5.0 N is applied, the spring extends by 0.10 m. \n\na) Determine the spring constant of the spring. \n\nb) Calculate the elastic potential energy stored in the spring when it is extended by 0.10 m.
Calculating Power for Constant Velocity Motion Against Resistance
An electric motor drives a conveyor belt that moves items at a constant speed of \(2.5\ \text{m s}^{-1}\). The total constant resistive force acting on the belt due to friction and air resistance is \(150\ \text{N}\). Calculate the power output required from the motor to maintain this constant speed.