Practice problems of the unit conversion - page 33 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
- Speed of sound
The average speed of sound is 330 meters per second. Estimate how long it will take to hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds.
- The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town.
- Suspended 82617
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1dm³. With what force is the thread stretched?
- Acceleration 80626
The car stopped at an initial speed of 90 km/h on a track of 62.5 m. What was its acceleration, and how long did it take to brake the car?
- Instructions: 27783
Mr. Blažek is preparing a solution for the winter spraying of trees. He read the instructions: "We dilute in a ratio of 1:100. "How much of the spray can be poured into two liters of water? (There is always more water in the spray. )
- Minutes 7660
The mile came from point A at 13 hours at a speed of 4 km/h. At 3.30 PM, Líba rode her at a speed of 20 km/h. How many minutes will Líba catch up with Milo?
- Pedestrian 7570
A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S?
- Afternoon 5922
Tractors plowed a field of 15 3/4 ha. Its plowed 3 1/3 ha in the morning, 2 5/6 ha in the afternoon, and 4 1/4 ha at night. How many hectares were left to plow the next day?
- Newspapers 5601
Four deliver newspapers. One takes 60 minutes, the second 40 minutes, the third 120 minutes, and the fourth 80 minutes. If they left at the same time, at 8 o'clock, when will they meet again at the place they left?
- Traveling 4124
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. What time will the truck catch up?
- Millimeter 2844
The fastest animal in the world is the cheetah, which reaches a speed of 34 meters per second. One of the slowest animals is the snail, which travels at 1/2 millimeters per second. How many times is a cheetah faster than a snail?
- Power consumption
The price of electricity is ₱6.50 per kilowatt hour (kWh). How much electricity was consumed if a television with 120 W power consumption ran from 7:30 AM to 12:30 PM? How much will this cost?
- Dynamometer
What is the volume of a body that stretches a dynamometer in air, on which a force of 2.5 N suspends it, and if it is immersed in alcohol with a density of 800 kg/m³, does it tension the dynamometer with a force of 1.3 N?
- Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK more expensive than a kilogram of chicken. How many CZK cost one kilogram of chicken meat so that the price of one kilogram of meat of two colors
- Chestnuts
Three divisions of nature protectors participated in the collection of chestnut trees.1. the division harvested 1250 kg, the 2nd division by a fifth more than the 1st division and the 3rd division by a sixth more than the second division. How many tons of
- Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At half-past ten, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
- Two places
The distance to the places is 60 km. From A place, a pedestrian came out at a speed of 4 km/h, and at the same time, a car drove against him from place B. What was the car's speed if the pedestrian met him in 90 minutes?
- Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. Assuming that the train movement is continuously slowing, find the acceleration and the distance it travels.
- Interior designer
To make draperies, an interior designer needs 11 1/4 yards of material for the den and 8 1/2 yards for the living room. If material comes only in 20-yard bolts, how much will be left over after completing both draperies?
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