Practice problems of the unit conversion - page 40 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
- The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric were in the package? - Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage. - Phone plan
Victoria's cell phone plan costs $30.00 a month. How much did Victoria pay per minute if she used 12.5 hours in May? - Motion
If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station? - Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27. - According 6381
According to the recipe, 0.8 kg of rice, 0.65 kg of meat, 300 g of carrots, 60 g of peas, 50 g of fat, and 10 g of salt are used to prepare 10 portions of dietary risotto. What weight of these types of food will need to be used to prepare 15 servings of r - Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time? - Latent heat
How much heat is needed to take from 100 g of water at 20°C to cool to the ice at -18°C? Mass heat capacity c (ice) = 21kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334kJ/kg - Dwarves 37191
The dwarfs dragged Snow White in a coffin from the garden to the house as Snow White with the coffin was heavy. The dwarves pulled her with a speed of 0.2 m/s. The place where Snow White and the coffin were laid was 15000 cm away from the place in the hou - Therefore 29661
Věra wants to welcome her friend Nada, who will arrive by train at 8:22 a.m. He, therefore, leaves home 1.2 km from the station at 8:00 a.m. and travels at a speed of 3.6 km/h. Will he arrive at the station on time? - Trolleybuses 14313
Trolleybuses on different lines depart from the same terminal station at 4:10 in the morning. The first returns to the final station regularly in 1 hour, the second in 40 minutes, the third in 2 hours, and the fourth in 1 hour and 20 minutes. At what time - Aircraft 4480
Two planes take off simultaneously from airports A and B, fly towards each other, and meet in 20 minutes. The distance between the airports is 220 km, and the average speed of the aircraft flying from airport A is 60 km/h more than the average speed of th - What power 2
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? Comparing the power generated by the pump vs. the power generated by the motor, which is more efficient? Which pump or motor generates more pollution if, for every watt - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the - Three examples per-mille
A. Calculate 1.5 ‰ from 4.5 liters of blood. Express the result in milliliters. B. Calculate three ‰ from € 50,000. C. The tray they brought breakfast to the landlord's bed is made of an alloy that contains 830 ‰ of silver. How much silver did they use on - Overload
What overload in g (g-force) would have passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - Chained winch
When digging a well, a chained winch balances the material. An empty shackle weighs 8 kg, a total of 64 kg. What force must the worker exert on the crank handle when pulling the shackle with a constant movement from a depth of 5 m if the shaft diameter is - Calculate 9571
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b - Two ships
The distance from A to B is 300km. At 7 AM started, from A to B, a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10:24. Find how far they will meet from A and when they will reach the destination. - Electricity 6667
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes?
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