Fractions + unit conversion - practice problems - page 14 of 15
Number of problems found: 283
- Cross-sectional 80979
An undisciplined motorcyclist drove at an unreasonable speed on a mountain road, lost control in a bend, and left the roadway at 90 km/h. He was falling into a gully 36 m deep. Draw a cross-sectional picture of the whole situation. How far did the motorcy - Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At half-past ten, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists? - Surroundings 74114
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin
- Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last? - Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Approximately 30131
Please calculate according to Pascal's law. Calculate the hydrostatic pressure at a depth of 300m below sea level if the density of seawater is approximately 1025kg per m³. At what depth below the surface is the hydrostatic pressure 4.5 MPa? - Single-reverse 78404
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever.
- Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s. - Calculate 80550
A cheetah weighing 38 kg moves at a speed of 108 km/h. Calculate its kinetic energy - Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time. - Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. Assuming that the train movement is continuously slowing, find the acceleration and the distance it travels. - Acceleration 80626
The car stopped at an initial speed of 90 km/h on a track of 62.5 m. What was its acceleration, and how long did it take to brake the car?
- Coefficient 81094
A car moves along a horizontal road at a speed of 15 m/s. After turning off the engine, the car traveled a distance of 225 m. What was the coefficient of friction for this motion? - Difference 69354
An airplane flies at a speed of 920 km/h at an altitude of 11 km above the surface of the Earth, where the air density is p = 0.36 kg/m³. Determine the pressure difference above and below the plane's wing if the top of the plane is 10% longer than the bot - Observatory 71934
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27°C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15°C? - Temperature 61484
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius r1 = 1 cm at a temperature of t1 = 4 °C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a tempera
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