Themes, topics - math word problems - page 18 of 174
Number of problems found: 3477
- 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 100 g/10 m³ 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 1 kg of ice at a temperature of -10℃ into steam at a temperature of 100℃? - Calculate
A bicycle wheel rotates with a frequency of f = 25 Hz. By braking, its rotation is slowed uniformly and the wheel stops after a time of t₀ = 30 s from the start of braking. Calculate the angular deceleration ε and the number of revolutions the wheel makes - 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! - Density of Titanium
The body of titanium weighs 227 kg and has a volume of 0.05 m³. What is the density? - Material Delivery Rate
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days? - Weight of Gasoline
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. - Distance
If Dana increases her walking speed by 1 km/h, she will cover more than 20 km in 4 hours. If she decreases her speed by 1 km/h, she will cover no more than 20 km in 5 hours. At what speed did Dana walk? (s = v · t; s = distance, v = speed, t = time.) Solv - Dividing Chocolate Fairly
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 Before Break
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. - Motion with Decreasing Acceleration 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
- Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor stopped for 5 minutes to repair a puncture. By how many kilometres per hour did his speed exceed the speed of the peloton when he caught up with it in 20 minutes? How lo - Evelyn garden plowing
Evelyn plows the garden in four hours, while her friend Doubravka can do it in three hours. Evelína started work at 1 p.m., and an hour later, Doubravka joined her so they could go swimming together. Calculate the time the girls can go to the swimming poo - Petra chair work
Petra pushed a chair from one room to another with a force of 60 N. She did 300 J of work. How far did Petra push the chair? - Number line distance
Consecutive natural numbers on the number line are always 1 cm apart. Write the sum of the numbers 9 cm away from 517 on the number line. - Decoration
Jerry and Jane decided to decorate their common room. If Jerry painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together? - Savings bank interest
On March 24, we deposited €5,400 into the savings bank. How much interest will we earn until the end of the year, when the savings bank provides 4.2% interest on this type of deposit? - Student deposit years A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?
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