Physical quantities - math word problems - page 151 of 298
Number of problems found: 5952
- Car
The driver of a car is to get to 454 km distant city. The atlas found that 54 km will have to pass through the cities at an average speed of 48 km/h. The remainder of the journey passes outside the cities at an average speed of 97 km/h. Calculate how many - 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) = 21 kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334 kJ/kg - Circular dragon
The dragon has the shape of a circular section with a central angle of 40° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones? - Triangles
Hannah cut 20 cm straws into three pieces. Each piece had an integer length in centimetres. She then tried to form a triangle from the three pieces. a) What is the perimeter of each such triangle? b) What is the maximum possible length of the longest side - In the apple
In an apple orchard, 12 part-time workers were picking apples for 5 days. Their daily performance in kilograms was as follows: 155.6; 168.2; 175; 159.4; 169.5. When calculating, round the results to hundredths. a) On average, how many kg of apples did the - 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 - Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6). - Skiing and sledding
Behind the pond, the cat Miki is skiing and Bobo is sledding down a 300-meter-long slope. Careful Bobo can go down the slope in one minute. How many km/h faster does Miki go down the hill than Bobo if he is down 20 seconds earlier? - Factory light savings
The factory hall is lit by 76 light bulbs, each of which has an input of 200 W. Determine how much electrical work will be saved annually if the light is on an average of 100 minutes less per day. Consider 260 business days. - Two cars
Two cars, spaced d1 = 500 m apart, start moving against each other at time t1 = 0, the first car with acceleration a1 = 4 m/s² and the second with acceleration a2 = 6 m/s². At what time t2 do they meet? What distances s1 and s2 will move from the start to - Kerosene tank force
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 1.5 m and 3 m if the density of kerosene is 820 kg per M3. - Cycling training time
Patricia got so excited about the cycling race that she started training every day. She notices that she travels 10 km in as many minutes as her average speed in kilometers per hour. Her last training route was 50 km. How long did it take her to cross it? - Passenger trains
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train? - Cities distance
The bus from Prague to M. Lázně travels at a speed of 36 km/h. At the same time, a car left Mariánské Lázně in the direction of Prague at a speed of 52 km/h. After the 90-minute journey, the two vehicles are still 30 km apart. What is the distance between - Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6 cm, b = 8 cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of th - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Mr. Filip
Mr. Philip is preparing to renovate a garden. He will divide its area into herb, vegetable, and ornamental sections in the ratio 2:3:5 (in this order). The area of the herb section will be 4 m × 2.5 m. a) Calculate the total area of the renovated garden i - Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/ - Rice - packaging line
An automatic machine weighs rice into packages on a packaging line. Suppose that the mass of rice in a package is a random variable which has a normal probability distribution with mean value (Greek letter Mu) = 500 g and standard deviation (Greek letter - The pilot
The pilot is on a mission with 160 liters of fuel. The distance between the main base and the operation area is 2 hours, and between the main base and the backup base is 1 hour. Assume: - Aircraft fuel consumption is 10 lt/h. - The minimum fuel after land
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