Practice problems of the unit conversion - page 31 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: 2237
- Refueling 83303
A liter of gasoline costs €1.2. After refueling, my car weight increased by 15 kg. The density of gasoline is p=750kg/m³. How many euros did I fill up with? - Three-quarters 36641
In the bakery, they prepared 616 loaves of two types of bread for the expedition: sunflower bread weighing three-quarters of a kilogram and caraway bread 900 g each. They prepared 7 kg of more than half a ton of bread. How many caraway and sunflower loave - Together 36443
Three buses are leaving the bus station. The circuit of the first bus lasts 1 hour, 24 minutes, the second 150 minutes, and the third 2 hours. When will they leave together? - Kilogram 24921
Dahlia cooks with her mother apple slices. They mixed flour, sugar, and butter in a ratio of 10: 3: 2. How many grams of sugar and butter did they put in half a kilogram of flour? - Kilometers 8021
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Minutes 7720
Miloš goes to school on roller skates at a speed of 18 km/h. The journey takes 15 minutes. What speed does he have to go if he wants to be at school 5 minutes earlier? - Acceleration 7147
The runner ran the track 100m in 10.2 seconds. He ran the first 20m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20m section, and what was its maximum speed? - 100-meter 6403
Jarka cycled a 100-meter distance at a speed of 30 km / h. What speed would she have to go to get it in a time equal to the world record in the 100m sprint (WR t = 9.58 s)? - International 5838
An international peace marathon is held in Košice every year. Runners run 42km and 195m. If the rule were that after every 7 km, the competitors could have refreshments, how many times could they have refreshments during the entire run? - Kilometers 5641
Eva takes 539 steps on her way to school. How many meters is it if he takes steps that are 4/7 meters long on average? How many kilometers does Eva "walk" during one school year on her way to and from school? - Mail train
The speed of the mail train is 1370 meters per minute. Express it in miles per hour, correct to three significant figures. Use the following facts to convert this units: 1 meter = 39.37 inches, 1 mile = 1609 m, 1 hour = 60 minutes - Containers 2686
One m³ of wood weighs 650 kg, of which 12% is water. How many 10-liter containers do we need for this amount of water? - Minutes 2446
The water tank is filled with the first inflow in 1 hour 20 minutes, the second in 60 minutes. How many minutes will the tank be half full with both inlets if the other inlet is opened 12 minutes later? - Penultimate 2303
In the last 20 minutes, six songs were played. Two were the same length, 2 minutes each, 49 s. The next two were 52 seconds longer than the previous one. The penultimate song lasted only 180 s. How long was the last song? The last song lasted. It could ha - A marathon
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? - The Nürburgring
The Nürburgring in Germany is a racetrack that hosts racing events all year. Two of the fastest laps ever driven on the track are 6 minutes 47.30 seconds and 6 minutes 52.01 seconds. How much faster is the 6 minutes 47.30 seconds than the 6 minutes 52.01 - The output
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Transformation ratio k = 4. Find the voltage to which the primary coil is connected. How many turns does the primary coil have if a current of 1 A flows through it? What cu - A hammer
A hammer weighing 500 g hits the nail at a speed of 3 m/s. What is the average force acting on the nail, which penetrates the board to a depth of 5 cm? - A clock
Mother set a clock right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution. - Railroad
The railroad runs parallel to the railway. The train travels at 36 km/h on track. In the opposite direction, the motorcycle rides at 90 km/h. The train passes in 3 seconds. How long is a train?
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