Fundamentals of Physics - math word problems - page 41 of 44
Number of problems found: 864
- Nine balls
Imagine that you have exactly the same appearance as nine balls, of which one has a greater mass than the other. You have isosceles weights. Post a procedure as you would using weights to discover heavier balls. How many measurements at least do you have - Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane. - Circumferential 2367
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than - Air pressure
The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house with a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) from the air on
- 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 = 550 kg/m³). - Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards 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 2
The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long does track travel? - Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will be its speed? - Ballistic curve
The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height it reached if his average speed was 1200 km/h, and 12 seconds took from the shot to impact. - Gravitational 2137
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 5km. What work has it done?
- Stone
When Peter threw a stone in a water box, he discovered that the water level had risen by 6 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 40 cm. What volume has a stone? - Motion 2
At 10 o'clock started, place A car's speed at 90 km/h. Twenty minutes after starting another car from place B at a speed of 60 km/h. The distance between places A and B is 120 kilometers. What time and where do they meet? - Vacation
Parents are piggybacking children on vacation to their grandmother and grandfather in a city distant 150 kilometers. They agreed to meet halfway. Parents will travel at 90 km/h, grandmother and grandfather at 60 km/h. Parents depart at 12:00 hours. When d - 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.
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