Fundamentals of Physics - math word problems - page 47 of 50
Number of problems found: 985
- Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle? - Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density ρ = 550 kg/m³). - Journey
Charles and Eve stand in front of their house. Charles walks south to school at 5.4 km/h, and Eve cycles east to the shop at 21.6 km/h. How far apart are they after 10 minutes? - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis. - Train slowing down
A train slowed from 90 km/h to 72 km/h in 5 seconds. What distance did it travel during this time? - Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will is its speed? - Ballistic curve
The soldier fired a ballistic projectile at a 45° angle. The first half of its path it ascended, and the second half it fell. How far and how high did it reach if its average speed was 1,200 km/h and 12 seconds elapsed from the shot to impact? - Whale pressure
The whale, weighing 8 tons, was thrown aground by the sea. The whale is approximately 20 m long and 2 m wide. Estimate the pressure under the belly of a whale. Consider a value of the gravitational acceleration of 10 N/kg. - Locomotive
Locomotive pulled a permanent train load of 200 kN horizontally along the track of 5 km. What work has it done? - Stone
When Peter threw a stone in a water box, he discovered that the water level had risen by 9 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 48 cm. What volume has a stone? - Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet? - Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de - Cars motion
From A point car starts at the speed of 90 km/h. Against it departs from point B at the same time another car at 60 km/h. How long and where do they meet if the distance between A and B is 180 km? - Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 85 kg and height h = 152 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index, it is possib - Cars meeting distance
The distance between cities A and B is 165 km. A truck traveled from city A to city B at a speed of 50 km/h. Fifteen minutes later, a passenger drove from city B to city A at 72 km/h. How far will the passenger car travel before the two cars meet? - Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm.
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