Unit conversion of Acceleration Problems - page 3 of 5
Number of problems found: 83
- Chained winch
When digging a well, a chained winch balances the material. An empty shackle weighs 8 kg, a total of 64 kg. What force must the worker exert on the crank handle when pulling the shackle with a constant movement from a depth of 5 m if the shaft diameter is - Dentist
A doctor lifts a chair with a patient using a hydraulic device. The area of the smaller piston is 5 cm². The area of the larger piston is 200 cm². The mass of the chair is 30 kg, the mass of the patient 100 kg. Will the doctor lift the chair with the pati - Hydrostatic pressure
Please calculate according to Pascal's law. Calculate the hydrostatic pressure at a depth of 300 m below sea level if the density of seawater is approximately 1025 kg per m³. At what depth below the surface is the hydrostatic pressure 4.5 MPa? - Roman 2
Roman thermae around the year 200 AD were baths equipped with underground central heating. The largest of them had a rectangular pool of cold water with base dimensions of 17 m and 51 m, with the water reaching a height of 150 cm. Calculate according to P - Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn? - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76 km/h to 130 km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1 m B) 1 s? - Under the sea
In Jules Verne's famous novel "Twenty Thousand Leagues Under the Sea", three heroes – professor Aronnax with his servant Conseil and the harpooner Ned Land – experience a journey by submarine Nautilus under the command of captain Nemo. Suppose that the av - Aircraft Carrier Acceleration
The runway of the aircraft on the mother ship is 49 m long. Calculate the aircraft's acceleration so that its speed when leaving the ejection device reaches 252 km/h. - Orlík hydroelectric plant
The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m³/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p - Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist? - Opening of a safe
How great a force would need to be exerted to open the rectangular door of a water-tight safe with dimensions 30 cm x 20 cm, built into the wall of a cabin of the sunken Titanic, which has been lying for more than 105 years on the bottom of the Atlantic O - A car
A car weighing 1.05 tonnes, travelling at the maximum speed limit in a village (50 km/h), crashes into a solid concrete barrier. Calculate the height from which the car would have to fall onto a concrete surface to produce the same impact force as in the - Runner acceleration speed
The runner ran the track 100 m in 10.2 seconds. He ran the first 20 m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20 m section, and what was its maximum speed? - Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h? - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Two cars 6
Two cars leave the same place one after the other, 15 seconds apart. Both move with uniform acceleration from rest: the first car with an acceleration of 0.5 m/s², and the second car with an acceleration of 2 m/s². Determine: a) the time and distance at w - Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. If the train movement is continuously slowing, find the acceleration and the distance it travels. - 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 - Car braking distance The car brakes with an acceleration of 5 m/s². Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds.
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