Practice problems of the unit conversion - page 36 of 112
The International System of Units (SI) is the standard system of units used in most countries around the world. It is based on seven base units: the meter for length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity. These units can be converted to other units using conversion factors, such as the relationship between meters and centimeters (1 meter = 100 centimeters). Other common SI unit conversions include:1 liter = 1000 milliliters
1 gram = 1000 milligrams
1 joule = 1 watt-second
1 newton = 1 kilogram-meter per second squared
In the SI system, units can be multiplied or divided by powers of ten to create larger or smaller units. These multiples are called prefixes. The most common prefixes and their meanings are:
mega- (M) = 1,000,000 (e.g. 1 megahertz = 1,000,000 hertz)
kilo- (k) = 1000 (e.g. 1 kilogram = 1000 grams)
centi- (c) = 0.01 (e.g. 1 centimeter = 0.01 meters)
milli- (m) = 0.001 (e.g. 1 milliliter = 0.001 liters)
micro- (µ) = 0.000001 (e.g. 1 microgram = 0.000001 grams)
nano- (n) = 0.000000001 (e.g. 1 nanosecond = 0.000000001 seconds)
It is important to note that, when using these prefixes, the prefix should be written before the unit symbol.
Number of problems found: 2238
- Ružomberok 31281
A passenger car traveled the route from Trencin to Ruzomberok in 1 hour and 48 minutes. These two cities are 144 km apart. How many minutes would the driver shorten his return trip if he traveled an average of 90 km per hour? - Follows 80693
A train travels at a speed of 50 km/h from city A. In 15 minutes, a second train follows him at 20 m/s. We are sitting on the first train. When will the second train catch up with the first? - Weighing 36921
Mrs. Černá used 1.2 kg of wool to knit the sweater. They sold a ball weighing 100 grams for 39 CZK. How much money will she save if she knits the sweater herself than if she bought it for CZK 720? - Inaccurate 34503
Peter has an inaccurate alarm clock. He found that he was exactly 4 minutes late every hour. At 21:30 in the evening, he will set the exact time for it. What must alarm time be on him to wake him up at exactly 06:30?
- Motorcycle 17343
Karel left for the cottage at 7:00 and his parents 20 minutes later. Everyone came to the chat at the same time. Karel rode a motorcycle at a speed of 20 km/h, and his parents drove a car at 1 km per minute. How far is the cottage from where they live? Wh - Determine 6291
On the Cook Island map, the cycling trail measures 0.025m. A cyclist moving at a constant speed of 15 km/h will cover the entire trail in 2/3 hours. Determine the scale of the Cook Island map. - Strawberries 6125
Friends Marika and Katka decided to prepare strawberry jam together according to the recipe. They needed 50g of sugar for 0.5kg of fruit. How many kilograms of sugar must the friends prepare if they make jam from 2.3 kg of strawberries? - Kilograms 5994
The courier brought four packages to the company that weighed 3.5 kg, 2 1/5 kg, 3/4 kg, and 250 g. How much did all the packages weigh together? Give the result in kilograms and write it as a decimal number. - Passenger 5317
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train?
- The pharmacy
A pharmacy technician receives a prescription for 125 mcg of medication. The pharmacy has 0.25mg scored tablets on hand. The technician calculates that the patient should take two pills per dose. The drug label indicates that 0.25mg is equivalent to 250mc - Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t - Marlon
Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the picture. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon. - Power input
The construction lift lifted a load weighing 300 kg to a height of 12 m with a uniform movement. How long has it taken for the load to be lifted if the efficiency is 75% and the engine has a power input of 5 kW? - Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds.
- Fruit juice
Fruit juice contains 37.5% sugar. How much percent of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg) - Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away? - Republican 83136
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36? - Employees 46923
The new water supply pipeline is to be 1.2 km long. Employees put it from both ends. On one side, 0.492 km of pipeline is laid, and on the other side, 53,500 cm of a pipeline. How many meters of pipe are left to lay? - Instantaneous 37961
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm. S-1. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it t
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