Mass - math word problems - page 11 of 79
Number of problems found: 1571
- Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C). - Calorimetric equation
A 200 g aluminium cylinder at 180 °C was dropped into 3 kg of water at 25 °C. At what temperature did the mixture stabilise? The specific heat capacity of water is 4,200 J/(kg·°C) and of aluminium is 896 J/(kg·°C). - Specific heat
How much heat must be added to convert 25 kg of ice at −15 °C into water at 23 °C? The specific heat of fusion of ice is 333 kJ/kg. - By mass
How much heat must be supplied to completely melt 45 kg of potassium initially at 22.4 °C and bring it to a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C, and the specific heat capacity of potassium is 757. - Elevator efficiency
To what height will an elevator motor with a power of 25 kW and an efficiency of 48.6% transport a cabin weighing 445 kg with seven people (average mass 64 kg per person) in 54 seconds? - Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end? - Height from Impact Velocity
From what height did a body weighing 9.8 kg fall if it hit the surface at a speed of 100 km/h? - Motor efficiency
Calculate the power input of a motor operating at an efficiency of 58% that lifts an elevator car (weighing 390 kg) with twenty boxes (each weighing 25 kg) to a height of 85 m in 29 seconds. - Acceleration - gravity
What is the gravitational acceleration if a body with a mass of 5.8 kg fell from 68 metres and hit the ground at a speed of 60 km/h? - Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread. - Prepare
From two types of tea priced at 1,500 Sk/kg and 2,100 Sk/kg, 29 kg of a mixture priced at 1,650 Sk/kg is to be prepared. How many kilograms of each type of tea should be mixed? - DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m × 20 cm × 20 cm, if its mass is 84 kg? - Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms. - Kilogram chleba
We need 750 g of flour for one kilogram of bread. How much flour do we need for 20 loaves weighing 1200 g? - Fresh Plums for Dried
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried? - Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level. - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - 3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation, and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far from the axis of rotation on the right arm must a 0.7 kg weight be placed f - Staircase - escalator
An escalator moves downward at a speed of 0.6 m/s at an angle of 45° to the horizontal. A person weighing 80 kg walks upward on it at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he reaches a height of 2 - Assume
Two naughty boys broke the glass in a front door. The glass measured 105 cm × 150 cm and was 6 mm thick. They decided to pay for the glass from their savings and, assuming it would weigh no more than 12 kg, planned to carry it and ask the caretaker to ins
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