Mass + planimetrics - practice problems - page 2 of 4
Number of problems found: 67
- Tarzan
Tarzan, weighing m = 90 kg, tries to cross the river by swinging with a vine hanging from a tree leaning over the river. Liana has a length l = 12 m. The speed of the Tarzan in the lowest swing position is v = 8 m/s. Tarzan doesn't know that the liana wil - Consumption 40011
Karel calculates the consumption of paint for coating the floor in the clubhouse. The clubhouse is 3.4 m long and 2.5 m wide. 0.7 kg of paint is used per 1 m². One can contain 0.8 kg of paint. Calculate the total consumption of paint. How many cans of pai - 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°. - Trapezoid 36701
The field between the two parallel roads is shaped like a trapezoid with 180m and 100m long bases. The distance between the roads is 80m. When the yield of this type of cereal is 8.5 tons from 1 hectare, how many tons of barley were harvested in the field
- Hydraulic 36021
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston? - Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston? - Physics - pressure
Find the pressure exerted by a crawler tractor of mass 30 t standing on a flat road if the area of the contact surface of the belts with the ground is 6 m square. - Hectares 31661
Express the yield per hectare of sugar beet when you know that we can harvest 20 tons of sugar from 20 hectares of fields. - Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7dm². Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
- Eight-square 29951
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Natural fertilizer
The gardener fertilized the rectangular garden measuring 120m and 60m with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m² of the garden? - Equilateral 26601
The gardener filled the flowerbed in the shape of an equilateral triangle with a side of 8 m with crushed stone. How much crumb was used for the whole flower bed if it consumes 25 kg per 1 m² of the area? - Alcohol from potatoes
In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol? - Inclined plane
1. How much work W do we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m? 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need
- Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the center of the bridge, so it does not fly - 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? - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling?
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