Themes, topics - math word problems - page 17 of 168
Number of problems found: 3360
- Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level. - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - 3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far on the right arm must the 0.7 kg weight be placed for the lever to be in bal - Wrench Lever Force
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren - Positive or Negative Pressure
The total pressure in the container is 5 MPa. Is there negative or positive pressure in the container (write the answer as A or B)? - Distance from Sound
Sound travels at a speed of 330 meters per second. The observer heard the bang 14 seconds after the flash. At what distance did the flash occur from the observer? - Staircase - escalator
A moving staircase moves downwards at a speed of 0.6 m/s. The staircase makes an angle of 45° with the horizontal. A person weighing 80 kg walks upwards at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he - Passenger car and truck
At 6 a.m., a truck left the Factory at 40 km/h. At 6:30, a car drove behind it at 70 km/h. How long, at what time, and how far from the Factory will the passenger car catch up with the truck? - Assume
Two naughty boys broke the glass on the front door. The glass was 105 cm, 150 cm, and 6 mm thick. They decided to buy the glass from their savings and, since they assumed that it would not weigh more than 12 kg, they would bring it and ask the caretaker t - Timetable 2
A train runs according to a regular schedule from city A to city B, 270 km away, in 3 hours. On Monday, the train left city A with a delay of 18 minutes, but it arrived in city B according to the schedule. How many km/h was the average speed of the train - Transformation of voltage
A current of 0.5 A flows through the transformer's primary coil connected to a voltage of 120 V. Calculate the voltage and current in the secondary coil if the transformation ratio is equal to the number 5. - Following bike
At 8:00 a.m., my son rode a bicycle at a speed of 18 km/h. at 8:20 a.m., his father followed him at a speed of 60 km/h. How long will it take for Dad to arrive? - Finishing Tasks Earlier
Nine-year-old Lucia is preparing for testing. He solves a collection of 40 tasks per day. He will need 9 days to solve all the tasks. How many days earlier would she finish if she solved 60 tasks a day? - Granulate for pH Adjustment
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams. - Soap bubble
A conductive soap bubble with a radius of r=2 cm and charged to a potential of φ= 10000 V will burst into a drop of water with a radius of r1= 0.05 cm. What is the potential φ1 of the drop? - Additional Force on Body
A body with a mass of 5 kg moves in a vertical downward direction with an acceleration of a= 12 m/s². What force acts on it in addition to its weight? - Heat for Phase Change
How much heat is needed to turn 1kg of ice at a temperature of -10℃ into steam at a temperature of 100℃? - Calculate
A bicycle rotates with a frequency of f= 25 Hz. By braking, its rotation can be slowed down evenly and the bicycle stops after a time of t0= 30 s from the start of braking. Calculate the angular acceleration Ԑ and the number of revolutions the bicycle mak - Engine power Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
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