Unit conversion - math word problems - page 45 of 134
Number of problems found: 2678
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Electrostatic
A proton with mass mₚ = 1.67 × 10⁻²⁷ kg and electric charge e = 1.6 × 10⁻¹⁹ C, initially at rest, is acted upon by a uniform electrostatic field of unknown intensity E. The proton moves in the direction of the field lines and over a path s = 22 cm acquire - Electric field intensity
What is the intensity of the electric field at a point that lies in the middle between two point charges Q1 = 5.10-5 C and Q2 = 7.10-5 C, which is separated by r = 20 cm? The charges are placed in a vacuum. - Roller fluid
The homogeneous roller weighs 7.36 kg and has a volume of 8 dm³. Use the MFCH tables to select the fluids in which the specified body declining blue, it floats. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - A bug
A bug was sitting on the tip of a wind turbine blade that was 24 inches long when it started to rotate. The bug held on for five rotations before flying away. How far did the bug travel before it flew off? Exact answer. - Wave travel time
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm/s. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it take - Cardboard - boxes
The closed cardboard box has the shape of a block measuring 25 cm, 1.2 dm, and 0.5 m. How much cardboard is needed to make 20 such boxes? You need to add 5% to bends. - The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros? - Trapezoid height angle
In the isosceles trapezoid ABCD, its bases AB = 20 cm, CD = 12 cm and arms AD = BC = 8 cm are given. Specify its height and alpha angle at vertex A - Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with parallel sides a = 55 cm and c = 33 cm, leg b = 33 cm, and trapezoid height vₐ = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - 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. - Machine defect probability
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - Bus average speed
The bus left from stop A to stop B. The distance between the stops is 3.6 km. The timetable states that he has 3 minutes to cover this distance. At what average speed in km/h would the bus have to travel in order to pass the time interval? - Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m3) - Weather
Weather. At 5:00 am, the temperature was 28 °C, and at noontime, it rose by 9 °C. By 4:00 PM, it dropped 3 °C; by nighttime, it was 4 °C less. What is the room temperature this time? - Snow White transport
The dwarfs dragged Snow White in a coffin from the garden to the house as Snow White with the coffin was heavy. The dwarves pulled her with a speed of 0.2 m/s. The place where Snow White and the coffin were laid was 15000 cm away from the place in the hou - Orange and tangerine trees
Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. The survey shows the field is 32 feet long and 6 yards wide. Questions: What is the area of the field in square feet? What is - Biking
Dhea is biking for 20 mins every day before going to school. She looked at her watch and had already completed even 10 hours of biking. How many days in total did she achieve?
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