Mass - practice problems - page 9 of 79

Number of problems found: 1571

Beekeeper 2
A beekeeper has more than 190 kg and less than 200 kg of honey. If he divides it into 8 kg jars, 3 kg remain. If he divides it into 7 kg jars, how many kg remain? How many kg of honey does he have?
Calculate the density
Calculate the density of a body with a mass of 6.5 kg and a volume of 0.01 m³.
Meat 5
2.4 kg of meat costs 292 CZK at the store. How much meat of the same type can be bought for 2,482 CZK?
On a job
On a job, Peter harvested 150 kg of apples and John harvested 130 kg of apples. They divided a reward of 2,660 CZK in proportion to the apples harvested. How much did each receive?
Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram.
Salad - delicacy
A customer paid €1.50 for 300 g of salad. How much will they pay for 500 g of the same salad?
Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m².
Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body with radius r = 0.08 m and mass m = 1.5 kg at time t = 5 s, given that the body rotates about an axis through the centre of the cylinder with a constant angular acceleration ε = 5 rad/s², starting from re
Water + temperature
We supplied 1,365 kJ of heat to 5 kg of water initially at 20 °C. To what temperature did it heat up?
Grass Mixture
Peter plans to buy a grass seed mixture consisting of meadow grass and fescue seeds for 40 euros total. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each should he buy if the resulting mixture is to weigh 6 kg?
Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How far can it protrude over the edge of the table without falling if a weight of 0.2 kg is placed at its overhanging end?
Gross
The raw weight of meat is 83 grams. What is the weight of the meat after a 30% increase? Show the calculation.
Equality of Moments
A lever with a mass of 3 kg and a length of 2 m has weights of 5 kg and 8 kg attached at its two ends. Find the point where the lever must be supported so that it is in balance.
Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.)
Into the bottle
A bottle can hold water weighing no more than 1 kg. Can the same bottle hold gasoline of the same mass?
Volume of gasoline
There is 1,200 kg of gasoline in a tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of the gasoline.
On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂.
In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium.
Tanker 3
A full fuel tank weighs 4,500 kg. If we pump out 30% of the gasoline, it will weigh 3,900 kg. How many kilograms does the empty tank weigh?
Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice?

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