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Number of problems found: 3370

Body collision momentum
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change
Magnetic induction direction
The magnetic induction vector at a given field location has the direction: a) to the south magnetic pole b) tangent to the induction line c) to the north magnetic pole d) perpendicular to the tangent to the induction line
Interest compounded annually
If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after ten years?
Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be
Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model.
Fuel efficiency
The gravimetric analysis of an anthracite fuel is 90% carbon, 3% hydrogen, 2% oxygen, and 1% nitrogen. Given that analysis of the dry combustion products by volume is 16.2% CO2, 3.5% O2, and 80.3% N2, during the combustion process of anthracite, which con
City edge distance
In one city, the distance between two adjacent city edges on a map with a scale of 1:500000 measures 48 mm. What is the actual distance between these city outskirts in kilometers?
Conductor resistance
Calculate the resistance value of the electrical conductor if it is connected to a voltage of 12 V and an electric current of 0.3 A passes through it.
Iron electrical resistance
The iron is connected to a 230 V power supply with a current of 5000 mA. Calculate the electrical resistance of the iron.
Parallelogram - area
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100°. What is its area?
Plan road scale
A 3.5 cm-long line shows the 350 m-long road on the plan. What is the project's scale?
Loader pressure change
How does the pressure value change when we load a loader with the same weight as the car?
Truck rail pressure
How much pressure on the rails will cause an empty truck weighing 20 tons if the contact area of all wheels and rails is 16 square centimeters?
Stone lever force
A person lifts a stone weighing 285 kg with the help of a lever that is supported at a distance of 30 cm from the stone. A person acts on the lever at a distance of 90 cm from the support. How much force does a person have to use to lift a stone?
Wheel force lever
The center of force on the wheel is 1.2 m from the axis of rotation, and the load is attracted by the earth's gravitational force equal to 800 newtons at a distance of 40 cm from the axis of rotation. How much force F2 does the worker lift the wheel?
Perimeter - triangle
Construct triangle ABC when we know a + b + c (perimeter), height to side c, and angle gamma.
Acceleration and force
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm/s². Find the magnitude of the force.
Newton law
At what acceleration does a train with a weight of 800 t start if the traction force of the locomotive is 2 * 10⁵ N?
We are planting
We are planting 2 types of roses (white and red). Experience shows that the probability of a red rose sprouting is 0.7. A total of 5 seedlings are planted. What is the probability that: a) the first 2 will be red and the next white b) all will be red c) n
The cyclist - avg speed
The cyclist make a distance of 25 km at an average speed of 20 km/h. How long did the trip take him (in hours and minutes)?

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