Unit conversion + square (second power, quadratic) - practice problems - page 2 of 23
Number of problems found: 456
- Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - Long hot dog
In Kostelec above Black Forest, they made a record-long hot dog. When he slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint was 28 cm; he measured 20 feet in the travel direction and counted 5 fee - Driver
The car driver drove at 100 km/h, saw the obstacle, and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 s? - 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. - Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³. - Corresponds 81049
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston? - Motorcyclist 82445
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time? - Single-reverse 78404
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever. - Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - Determine 12461
The 150t aircraft takes off at a speed of 288km/h and, after a while, reaches a speed of 900km/h. Determine the change in the kinetic energy of the aircraft. - Fertilized 80437
Nitric lime contains an average of 19% nitrogen and 55% calcium oxide. How many grams of nitrogen per 1 m² if we bought a 25 kg package and thereby evenly fertilized a garden of 12 a? - Atmospheric 39931
The content of the horizontal plate is 0.80m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is ti - Eight-millimeter 81605
The rain gauge showed that an eight-millimeter layer of water fell on Mr. Severa's square garden. If Mr. Severa wanted to achieve the same irrigation of the garden, he would have to use 200 full sixteen-liter watering cans. calculate the area of his garde - Hectares 54981
The actual area of the square garden is zero whole zero, 875 hectares. How many meters of mesh will Mr. Novák need to fence it if a gate 80 cm wide and 2 m high leads to the garden? - Square-shaped 62174
We need 25 dm² of soil for each seedling, we planted 30 seedlings on a square-shaped bed, and there is another 1.5 m² of free soil for the spacing between them. How much mesh do we need to buy to fence the flowerbed? - Acceleration 56621
The aircraft, which has a speed of 1080 km / h, starts moving for 1 minute with an acceleration of 1 m / s². What will be its final speed? What trajectory will he take at this minute? - Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²) - A tile
A tile setter is covering a 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in a square. How many rows of tile are needed to reach 5ft? How many tiles are needed to cover 5ft by 5ft square - Nitrogen
One bag of urea containing 46 percent nitrogen weighs 25 kg. How many bags must be purchased for fertilizing a field of 41003 square meters if the nitrogen dose is 50.0 kg per hectare?
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