Practice problems of the unit conversion - page 37 of 113
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: 2253
- 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
- Calculated 25171
Peter trains for a half marathon every day. He ran 1,000m on the first day and increased the training length by 250m daily. On a certain day, Peter ran 21 km in training. That day, he calculated the total distance he had run since the start of training. H - Afternoon 5618
Mrs. Vránová planted 50 spruces in three and a half hours in the morning. Mrs. Kosová came in the afternoon, and together, they planted another 100 spruce trees in four and a half hours. Report: A. how long would it take Mrs. Kosová to plant 50 spruces he - Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running? - Vegetable 2616
Danka was supposed to dig a vegetable patch in the garden. She would have carved it in 1.5 hours if she had worked alone. If her sister Hanka were to cut it alone, she would carve it in 0.75 hours. How long would it take them to weed the garden together? - Lead melt
Find the heat needed to melt an object made of lead weighing 250g and an initial temperature of 35°C. Lead melts at 327°C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg.
- Kamal
Kamal walks to his school, which is at a distance of 3 km from his home, in 30 minutes. On reaching, he finds that the school is closed and comes back by bicycle with his friend and reaches home in 20 minutes. His average speed in km/h is - Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train entered the tunnel, which according to Kub's book, was 2 km long. Kubo noticed that the end of the train had left the tunnel 75 seconds later than the locomotive had entered the tunnel. - Thermometer
Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water te - Videotape
Viera bought a videotape on which you can record programs with a total length of 240 minutes. She recorded a sci-fi movie, 1 hour and 28 minutes long, five ten-minute sessions, "aerobics at home." Can she fit on the tape even the film of Robin Hood, which - Dairy
Diary workers calculated according to the standards from the 108 liters of milk can produce 9 kg of cheese. According to norms, how many tons of cheese could be made from milk from 100 cows devoted for 30 days with an average daily milk yield of 10 liters
- Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - Pumps
The first pump flows 16 liters per second into the basin by the second pump 75% of the first and by the third pump half more than the second. How long will it take to fill the basin with all three pumps simultaneously, a volume of 15 m³ (cubic meters)? - Intervals 3044
At 9:00 a.m., three local buses met at the stop. The first bus has intervals of 20 minutes, the second every 25 minutes, and the third every 30 minutes. At what time will they meet again at this stop? - Forty-five 81599
Lukas left the Tereza cottage and walked at an average 4 km/h speed. Forty-five minutes later, Jakub followed him on a bicycle from the same cottage. He followed Lukas's route and caught up with him after 20 minutes. What was Jakub's average speed? - Possible 81020
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?
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