To practice problem-solving strategy 25.1 power and energy in circuits. a device for heating a cup of water in a car connects to the car's battery, which has an emf e = 10.0 v and an internal resistance rint = 0.03 ω . the heating element that is immersed in the cup of water is a resistive coil with resistance r. david wants to experiment with the device, so he connects an ammeter into the circuit and measures 10.0 a when the device is connected to the car's battery. from this, he calculates the time to boil a cup of water using the device. if the energy required is 100 kj , how long does it take to boil a cup of water?

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?