Physical quantity - math word problems - page 185 of 343
Number of problems found: 6854
- Two mass points
Two mass points start moving simultaneously in the same direction from the same location: the first point uniformly with a speed of 50 cm/s, and the second point uniformly accelerated with zero initial speed and an acceleration of 10 cm/s². Determine a) t
- Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne
- Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters?
- Motorcyclist 82445
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time?
- Acceleration 56621
The aircraft, which has a speed of 1080 km/h, starts moving for 1 minute with an acceleration of 1 m/s². What will be its final speed? What trajectory will he take at this minute?
- Block-shaped 29941
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3.
- Movement 21953
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope?
- Intersection 4214
The tractor drove through the crossroads at a speed of 36 km/h. Ten minutes later, a passenger car moved at 54 km/h. How long and at what distance from the intersection will the car run over the tractor?
- Peleton
The cycling race was run at an average speed of 42 km/h. One cyclist lost with defect 9 minutes. How long and far must he go at speed 47 km/h to catch the peloton again?
- The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5
- Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'.
- Approximately 80443
The 94 m² flower bed is to be planted with begonias. An area of 2 dm² is needed for one seedling. How many grams of seeds should be sown if 1 g of seeds contains approximately 5000 seeds? Losses when growing seedlings are usually 30%.
- Temperature 38971
A zinc body has a volume of 20 dm³. What heat is needed to warm it from a temperature of 25 to 100 degrees Celsius? What is this body's heat capacity C (unit J/K)?
- Resulting 83473
Mobile became cheaper by 30%, twice by 20%, and then by 10%. The resulting price is CZK 11,088. What was the original price?
- 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
- Free fall
The elevator car weighing 720 kg, is torn off at the height of 125 m and begins to fall in a free fall. How much kinetic energy did the elevator car have when it hit the ground floor of the building when the free fall of the car lasted 5 s?
- Simultaneously 7690
Two ships sailed in the same direction from the two ports simultaneously. The first boat is 20 km/hour, and the second 26 km/hour. The second caught up with the first in 4 hours. What is the distance between ports?
- Determine 5673
An airplane flew from city A to city B at a speed of 500 km/h. Fifteen minutes later, an airplane took off from city B to city A at a speed of 450 km/h. After 45 minutes, the planes met. Determine the distance between A and B.
- Milimeters
The pool is 6 meters long and 3 meters wide, and the water in it is filled with water to a height of 1.7 m. When John jumped into it and completely submerged, the level had risen by 5.4 mm. How much weight does John have when we know that one liter of the
- Schoolmaster 5412
The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45mm x 65mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80?
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