Fundamentals of Physics - math word problems - page 20 of 50
Number of problems found: 985
- Day trip
A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at - The temperature 13
The temperature in Toronto at noon during a winter day measured 4 °C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3 °C? - The oscillation
The oscillation of a mechanical oscillator can be used to measure weight. A body of the 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. - Direction indicator
When a current of 1.6 A passes through the lamp direction indicator's 7400 mOhm resistance, which voltage is connected to it? - Bulb filament current
The car's low beam bulb filament has a resistance of 5 Ω. How much electric current flows through it at the standard car battery voltage of 12 V? - 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. - Dynamometer
What is the volume of a body that stretches a dynamometer in air, on which a force of 2.5 N suspends it, and if it is immersed in alcohol with a density of 800 kg/m³, does it tension the dynamometer with a force of 1.3 N? - Steering wheel force
The steering wheel has a diameter of 40 cm. It is acted upon by a pair of forces with a torque of 27 Newton-meters. How much force does it exert on each side of the steering wheel? - Lead melt
Find the heat needed to melt an object made of lead weighing 250 g and an initial temperature of 35 °C. Lead melts at 327 °C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg. - Now is
The temperature is 5 °C in the morning. What will the temperature be if: i. it rises by 12 °C? ii. it falls by 15 °C? - Above water surface
If we remove the stone from the water, we apply a force of 120 N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³. - What power
What power should a radiator have in a room measuring 5 × 4 metres with a height of 3 metres? Hint: Use 35 watts per m³ for rooms requiring 22 °C, or about 40 watts per m³ for bathrooms requiring 24 °C. This is a rule of thumb for estimating heating requi - Air thermics
In a cylinder with volume V0 is enclosed air. The temperature of the air is T and the pressure is p0. While maintaining a constant temperature, first the air is compressed by a piston to one sixth of its volume. Then, after very rapid opening and closing - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the - Harmonic oscillation equation
Write the harmonic oscillation equation if the oscillation's amplitude is 5 cm and its period is 0.5 s. - There
There is 5 l of water with a temperature of 20 °C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30 °C. What was the temperature of the hot water? - Radio signal oscillations
The time signal in the radio consists of four sound marks with a frequency of 1,000 Hz, of which the first three have a duration of 100 ms and the fourth 500 ms. How many oscillations will occur at each mark? - Two pendulums
In 24 s, the first pendulum performed 12 oscillations and the second 16 oscillations. Determine the periods and frequencies of both pendulums. - Beam force distribution
A body weighing 400 kg is suspended at a distance of 1 m from one end of the beam on a beam weighing 100 kg and 5 m. How large do forces act at the ends of the beam? - Thermometer
A thermometer with a heat capacity of 2.0 J/K is immersed in 67.0 grams of water. Before immersion, the thermometer reads 17.8 °C. After reaching thermal equilibrium, the temperature is 32.4 °C. What was the temperature of the water before the measurement
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