Physical quantities - math word problems - page 175 of 298
Number of problems found: 5956
- Vector magnitudes
Determine the magnitude of the vectors u = (2,4) and v = (-3,3) - Track ascent meters
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Sides of a rectangle
The dimensions of a rectangle are in a 4:12 ratio. If the shorter side length is 12 cm, what is the length of the longer side in centimeters? - Altitude difference
What is a climb permillage of the hill that is 4 km long and has an altitude difference of 6 meters? - Electrical 11
An electrical device produces 4.2 MJ of work per hour at an efficiency of 53%. What is the power input of this device? - Sewer skirt production
Three sewers sew 7 skirts in 15 hours. How many skirts can 2 seamstresses make in 50 hours? - Body trajectory energy
A body of mass 4 g is shot perpendicularly from the ground and lands in 8 s. What is its kinetic energy at the beginning of its trajectory, what speed does it take off, and where does the distance from the ground stop? - Satellite runway speed
The satellite flies at a speed of 8 km/s. Will it fly down the runway in two seconds? - Free fall velocities
Calculate the instantaneous free fall velocities at the end of the 1st, 3rd, 5th, and 7th seconds. Compile the results in a table. - Ava ran
Ava ran 4 1/6 miles in 36 11/24 minutes. Assuming she kept a constant pace, how many miles did she run each minute? - Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map. - The temperature 28
The temperature rose 14 °C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - Runner acceleration speed
The runner reaches a speed of 30 km/h after 3 seconds from the start. Determine its acceleration. - Gravitational potential function
Find the relation for the gravitational potential V(x) at the junction between the Earth and the Moon as a function of the variable x, where x is the distance measured from the center of the Earth and is the distance between the centers of the two bodies, - Gas pressure
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³? - Plan scale
On mill paper, the dimensions are 11 * 7.5 mm, and the external dimensions of the sauna are 4.4 * 3 m. On what scale is the plan drawn on graph paper? - Map line
On a map at a scale of 1:250,000, the line shows a distance of 15 km. How many cm does this line measure on the map? - Danube map length
On the map of Bratislava, with a scale of 1:200,000, the length of the river Danube is about 12.3 cm. Approximately how many km of Danube flows through this area? - Buoyancy force
Find the magnitude of the buoyancy force acting on a body with a volume of 1 dm³ whole immersed: a) in water b) in ethanol.
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