Time + power - practice problems - page 4 of 5
Number of problems found: 84
- Orlík hydroelectric plant
The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m3/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed pow - A car
A car weighing 1.05 tonnes driving at the maximum allowed speed in the village (50 km/h) hit a solid concrete bulkhead. Calculate height would have to fall on the concrete surface to make the impact intensity the same as in the first case! - Precious metals
From 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, and silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41. - Acceleration 7054
The car brakes with an acceleration of 5 m/s-2. Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds.
- Refrigerator 6703
Calculate how much we will pay for 1 hour of consumed electrical energy if the seller sets a price of 0.126 euros for 1 kWh (all appliances together for 1 hour of work). Table: Appliance Power (W) Washing machine 2300 W Bulb 40W Refrigerator 200W TV 110W - Performance
Two masons with the same performance would have been made of plaster for six days. One of them, however, has increased its daily performance by 50%. How long would it take them now to make plaster together? - Electricity 6667
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes? - Consumption 6581
We heated water weighing 1 kg at 70 degrees in a kettle. C. In 5 min. What is the power consumption of the kettle? We do not take into account losses or boiling points. - Highway tunnel
The company built the highway tunnel from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" rasters. After 55 business days, both parties me
- Simultaneously 5610
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1 - Elišča's 5549
"My daughter will be x years old in x²," said Elišča's father in 1991 at her birthday party. a) When will the said event occur, and how old will Eliška be at that time? b) In what year was Eliška born? c) How old was Eliška in 1991? - Job task
After two hours and 40 minutes, the job is finished. Compared to last year, we were 40 minutes faster. What is the percentage increase in our performance? - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be 7/2 times older than he. How old are Richard and his mom? - Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d.
- Tributaries 3458
At the swimming pool, they usually use three tributaries with the same power to fill the pool. Then the pool will fill in 5 hours. How many hours less would it take to fill the pool if they added 2 more inlets with the same capacity? - Complete 2833
The tiler covered 3/5 of the wall with tiles in two hours and 45 minutes. How long did it take to complete the entire lining area at the same power? How long did the whole job take him? - Pumps 3
Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would we have to use if we want to shorten the filling of the pool to four hours? - Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components?
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