Practice problems of the unit conversion - page 32 of 111
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: 2207
- Coke
One ton of coal is produced 772 kg of coke for iron production. How many wagons of coal by 13 tonnes per day is needed for the blast furnace, which has a daily consumption of 1020 tons of coke? - Grandmother 82869
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa. - Kilometers 82735
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car? - Marksman 78334
The igniter cord used in normal quarry blasting burns at a rate of 8 mm/s, the length usually used is 60 cm. At what minimum speed must the marksman move to a shelter 150 m away? - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Deciliters 30583
When Vírka visited the Dead Sea, she took a bowl with sand, pebbles, and water from the sea as a souvenir. The water in the bowl weighed 400g. How many deciliters of water did the eddy carry away from the sea? The density of salt water in the Dead Sea is - Water mixing
We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C? - Distance 20493
A snail emerges from the leaf at a speed of 1 cm/min. At the same time, an ant rushes towards it from the stone at a speed of 5 cm/min. The distance between the leaf and the stone is 1.2 meters. How soon will they meet, and at what distance? - Tomatoes 12781
In the store, Janko bought 300g of ham, 5 rolls, 1.5kg of tomatoes, and 2l of milk. Unit prices are listed in the table - ham 6.50e/kg rolls 0.06e/pc tomatoes 3.4e/kg milk 0.95e/l. How much did Jeniček pay for the purchase? - Motorcyclist 7274
At noon, a cyclist left Šumperk for Olomouc at a speed of 20 km/h. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist? - Strawberries 4785
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? - Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last? - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Weather
Weather. At 5:00 am, the temperature was 28°C, and at noontime, it rose by 9°C. By 4:00 PM, it dropped 3°C; by nighttime, it was 4°C less. What is the room temperature this time? - On the
On the map of Europe made at 1:4000000, Bratislava and Paris' distance is 28 cm. At what time will an airplane flying 800 km/h fly this journey? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Accelerated motion - mechanics
The delivery truck, with a total weight of 3.6 t, accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was a car? - Car
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
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