Grade - math word problems - page 125 of 968
Number of problems found: 19341
- 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. - Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box. - 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? - Standard
What is the rotational speed in revolutions per minute of a two-pole synchronous motor connected to a standard network with a frequency of 50 Hz? - 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? - Rectangle - perimeter, side
From the formula for the perimeter of a rectangle, express the length of side b and find its value for o = 28 cm and a = 7.5 cm. - Two-Fifths of 175
What is two fifths of 175? - 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? - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need? - In the parking lot 2
There were 12 cars in a car park: 5 green, 4 blue, and 3 red. What is the probability that the last car left in the car park is blue or green? - Minutes in Fractional Hour
How many minutes is five sixths of half an hour? - Find b from LCM
The least common multiple of 2,190 and b is 13,140. What is b? - 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. - Borrowed
Mr. Douda borrowed 200,000 Sk from the bank at an annual interest rate of 15.4%. He will repay the loan after four years. How many korunas will he have to repay in total? - Emptying a tank
A water tank can be emptied by the first pump in 12 hours, by the second in 9 hours, and by the third in 4 hours. How many hours will it take to empty the tank if all 3 pumps are turned on simultaneously? - Gross Salary Calculation
An employee receives a net salary of 5,000 after a 15% income tax withholding. What was the gross salary?
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