(Originais Teachy 2024) - Question Medium of Physics

João is helping his father fill the home pool, which is rectangular and has the following dimensions: 8 meters in length, 4 meters in width, and 1.5 meters in depth. They are using a hose with a constant flow rate of 20 liters per minute. Considering that the pool was completely empty and there was no water wastage in the process, answer: (a) What is the total volume of the pool in liters? (b) How long, in hours, will it take to completely fill the pool with the hose? (c) If the water in the pool had the mentioned constant flow rate, but drained through an opening of the same size as the hose, how long would it take for the pool to completely empty?

A glass prism is used in a laboratory experiment to separate the colors that make up white light. The prism is in the shape of an equilateral triangle with sides of length 10 cm and a refractive index of 1.5. A monochromatic light beam is incident on the prism and emerges with an angular deviation. For this experiment, consider that the light beam hits the first face of the prism at a 45º angle. (a) Calculate the angle of refraction on the first face of the prism, applying Snell's Law; (b) Determine the angle of incidence of the light beam on the second face of the prism as it passes through it; (c) Using the information obtained in the previous steps, calculate the total angular deviation of the light beam passing through the prism.

The city of Salvador, famous for its hills and elevators, is a perfect example to demonstrate the force of traction. The Lacerda Elevator, one of the main postcards of the city, transports thousands of people daily between the Upper Town and the Lower Town. Suppose one day, a group of 15 people with an average mass of 70kg decide to use the elevator at the same time. Considering the elevator's mass as 500kg and the acceleration due to gravity equal to 10 m/s², what would be the traction force on the elevator cable when it is at rest or moving at a constant speed?