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Number of problems found: 3360

Force moment calculation
Calculate the moment of force if F = 500 N and the arm's length is 0.8m. Unit N.m
Crane counterweight weight
What is the weight of the counterweight of a crane that lifts a 20 t weight? The arm's length is 15 m, and the arm's length with the counterweight is 10 m. Write the answer in tons.
Swing boy distance
An 8-meter-long swing is supported at the center. A 30 kg boy is sitting at one end. How far from the axis of rotation on the other side of the swing must the second boy of mass 40 kg sit?
Knife meat pressure
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa.
Iron ball
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg.
Open simultaneously
An empty tank is filled with inflow in 30 minutes. A full tank is emptied in 75 minutes with an open drain. How long does it take for an empty tank to fill up if both the inlet and outlet are open simultaneously?
Worker job hours
Five workers do a job in 20 hours. How long will it take two workers to do the same job?
Battery charging capacity
The battery capacity is 50 Ah. With a current of 5A, we charge the accumulator to 100% capacity in 10 hours. To what percentage of capacity can we charge the accumulator with a current of 2A in 15 hours?
Tractor overtaking time
I am passing a tractor whose speed is 20 km/h. The length of the tractor with the siding is 10 m. My speed is 50 km/h. How long will I overtake the tractor?
Missile plane distance
The missile flies towards the plane at a 2000 km/h speed. The speed of the plane is 1000 km/h. The intervention is after 1.5 minutes. How far apart were the rocket and the aircraft in the beginning?
Car wheel rotation
The children's car has wheels with a radius of 15 cm, and its speed is 36 km/h. How many times does the toy car wheel turn in a minute at this speed?
Machine container filling
Two filling machines fill 250 containers in 2 hours. How many containers will 4 machines fill in 3 hours?
Car pursuit minutes
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car?
Boiler room
If only the first boiler is running, the coal supply is enough for 8 days. If only the second boiler is running, the coal supply is enough for 12 days. If only the third boiler is in operation, the coal supply will last for 6 days. How many days in total
Triangle square area
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square.
Cyclist distance hours
A cyclist travels at an average speed of 22 km/h. Determine how many kilometers he travels in three and a quarter hours.
Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter
Source internal resistance
A load of 23.5 ohm is connected to an ideal voltage source of 30V, and a current of 1.2A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current.
Part-timer
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours?
Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart?

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