Time + mass - math problems

Number of problems found: 30

  • Cat food
    Anna has 3/4 bag of cat food. Her cat eats 1/10 of a bag per day. How many days will food last?
  • Hungry cat
    John is a fully grown cat. He eats 2/3 of a can a day. How many cans of food does Tinker eat in a week? *
  • The oscillation
    The oscillation of a mechanical oscillator can be used to measure weight. A body of unknown weight is suspended on a spring with a stiffness of 20 N times m. The resulting oscillator oscillates with a frequency of 1.6 Hz. Find the weight of the body.
  • Frequency of oscillation
    A weight of 1 kg was suspended from the spring and the spring was extended by 1.5 cm. Determine the frequency of the natural oscillation of the resulting oscillator.
  • Farmer 5
    Farmer Joe ordered 3 bags of soil last month. Each bag weighed 4 ⅖ kilograms. He used the first bag in a week. At the end of this month, there were 2 ¾ kilograms of soil left in the second bag and ⅞ kilograms of soil left in the third bag. How much soil w
  • Electric cooker
    During which time t does an electric cooker with power input P = 500 W and with efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C). The specific heat capacity of water is c = 4 180 J. Kg-1. K-1
  • Harmonic oscillator
    Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.
  • Concrete column
    The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. It should be lifted by crane to a height of 20m. What is the power of his engine if the lifting takes 2 minutes?
  • The half life
    The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after 3 half-lives?
  • Positional energy
    What velocity in km/h must a body weighing 60 kg have for its kinetic energy to be the same as its positional energy at the height 50 m?
  • Friction coefficient
    What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07
  • Power input
    The construction lift lifted a load weighing 300 kg to a height of 12 m with a uniform movement. How long has it taken for the load to be lifted if the efficiency is 75% and the engine has a power input of 5 kW?
  • Orlík hydroelectric plant
    The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m3/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p
  • A car
    A car weighing 1.05 tonnes driving at the maximum allowed speed in the village (50 km/h) hit a solid concrete bulkhead. Calculate height would have to fall on the concrete surface to make the impact intensity the same as in the first case!
  • Basic form
    Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m3 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m3 6 min 30 s : 900 s
  • Blackberries
    Damián gathered for 19 days 9.5 kg of blackberries. Milada gathered for two days 1.6 kg of currants. How much would collect Damián blackberries per day and how much currants Miladka per day?
  • Cows
    20 cows has food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will be fed?
  • On the farm
    On the farm were housed 70 heads of cattle with food supply for 180 days. After 60 days, 10 head of cattle sold, and for the next 30 days they sold 10 more. How many days is sufficient supply of feed for the remaining cattle?
  • Flywheel
    The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis.
  • Dairy
    Diary workers calculated according to the standards from the 108 litres of milk is possible to produce 9 kg cheese. How many tons of cheese was possible according to standards make from milk from 100 cows devoted for 30 days with average daily milk yield

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