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Friday, May 11, 2018

The Physical Universe - PHYS 1000 Course, Exam 2

Exam 2

Problem 1. A rectilinear wooden rod of 10 meters long and weighing 10 kilograms has an electric charge of 1 μC uniformly distributed along its length. The rod is suspended at a height of 100 meters above the ground by its one end. The rod is released and starts to fall under the influence of the Earth's gravity attraction.
What is the current generated as a result of the rod's fall at the moment of 1 s after the start of the falling? The influence on the rod of possible external forces, except gravity, can be neglected.

Problem 2. Three identical resistors connected in parallel have an equivalent electrical resistance of 1 Ohm.
What is the equivalent electrical resistance of these resistances if they are connected in series?

Problem 3. Two identical electric charges repel each other with the force of 1 N.
What will be the net force acting on each of these electric charges if to put in the middle of them the third the same electric charge?

Problem 4. On how much is it necessary to reduce the pressure in the oral cavity in comparison with the external atmospheric pressure to slowly drink water through the tube if the lips are above the surface of the liquid at a height of 10 cm?

Problem 5. Water first flows through the pipe of 10 meters long and 40 cm in diameter, and then enters the pipe of 30 meters in length and 20 cm in diameter. Water flows into the first pipe with an average rate of 1 m / s.
At what speed does water flow from the second pipe?

Problem 6. The first pump, working alone, fills the pool with water for 1 hour. The second pump, working alone, fills the pool in two hours.
How long do the pumps fill the pool while working together?

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