Mass + themes, topics - practice problems - page 19 of 21
Number of problems found: 408
- Kilograms 3094
1.5 kg of a 20% NaCl solution should be diluted to a 10% solution with water. How much water will we need, and how many kilograms of diluted solution will we get? - Kilogram 3024
One kilogram of raisins costs a crown and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost? - Three piles
100 kg of sugar we divide into three piles. The first pile is small. If we added to the second 2 kg of sugar, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the 2nd pile. How - Atmospheric 2901
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be?
- Ice floe
What is the volume of an ice floe weighing 326 kg? - Iron cast
What is the weight of cast iron with a volume of 3575 cubic centimeters? The density of the cast iron is 7600 kg/m3 - Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and how much copper does it contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Wood cuboid
What is the weight of the wood cuboid 15 cm, 20 cm, and 3 m if 1 m³ wood weighs 800 kg? - Cube-shaped 2751
What weight will a cube-shaped concrete base with an edge length of 10 m have if one concrete cube weighs 2200 kilograms?
- Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Containers 2686
One m³ of wood weighs 650 kg, of which 12% is water. How many 10-liter containers do we need for this amount of water? - Cows
Twenty cows have food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will it feed? - Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal? - Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of
- On the farm
On the farm were housed 70 heads of cattle with food supply for 180 days. After 60 days, ten heads of cattle were sold, and for the next 30 days, they sold ten more. How many days is a sufficient supply of feed for the remaining cattle? - Coffee
Coffee merchant has coffee robusta and arabica species. 1 kg Robusta is worth 450 CZK, Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 490 CZK - Nine balls
Imagine that you have exactly the same appearance as nine balls, of which one has a greater mass than the other. You have isosceles weights. Post a procedure as you would using weights to discover heavier balls. How many measurements at least do you have - Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane. - Circumferential 2367
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than
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