Themes, topics - math word problems - page 12 of 159
Number of problems found: 3172
- 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?
- Tightened 83632
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
- Container 83618
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)?
- Observer 83616
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?
- Passenger 83609
At 6 a.m., a truck left the Factory at 40 km/h. At 6:30, a car drove behind him at 70 km/h. How long, at what time, and how far from the Factory will the passenger car catch up with the truck?
- Transformation 83561
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?
- Collection 83537
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 83503
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.
- Conductive 83502
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?
- Acceleration 83493
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?
- Temperature 83492
How much heat is needed to turn 1kg of ice at a temperature of -10℃ into steam at a temperature of 100℃?
- 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!
- Titanium 83463
The body of titanium weighs 227 kg and has a volume of 0.05 m³. What is its density?
- Material 83438
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days?
- Approximately 83408
The volume of the gasoline bottle is 15 liters. What is the weight of an entire bottle of petrol if the empty one weighs 1 kg? The density of gasoline is approximately 730 kg/m³.
- Granddaughters 83342
Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her g
- Acceleration 83305
A body of mass 500 kg is lifted with a uniformly accelerated rectilinear motion using a rope. Determine the acceleration at which the rope breaks if it sustains a load of 15,000 N.
- Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th
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