Fundamentals of Physics - math word problems - page 29 of 48
Number of problems found: 953
- A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-4, t > 0. Initially, the particle is 8 meters from a fixed origin's right. After how many seconds is the particle at the origin? - Bulb resistance calculation
The small bulb's socket has a reading of 6.3V/0.3A, which applies to its filament when the bulb is on. Determine the electrical resistance of the fiber under the given condition (the temperature of the fiber corresponds to about 2800°C) - Short-circuit and fuse
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Find: 1. source terminal voltage, 2. the internal resistance of the source, 3. maximum short-circuit cur - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Aluminum volume expansion
The aluminum container has an internal volume of 0.75 l at 20 °C. How does this volume change if the temperature increases by 55 °C? A = 24.10-6 1/K. - Pulley pulling force
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces do in 2 minutes? - Car meeting calculation
The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Steel wire expansion
The steel wire (α = 11.5. 10-6 1/K) has a length of 100 m at -15 °C. Find its length at 45 °C. - The copper wire
The copper wire bundle with a diameter of 2.8mm weighs 5kg. How many meters of wire are bundled if 1m³ of copper weighs 8930kg? - The shooter
The shooter heard the bullet's impact on the target one second after the shot. The bullet was moving at an average speed of 500 m/s. Calculate with the speed of sound of 340 m/s. Determine the distance of the target. - Depth bomb explosion
Please calculate according to Pascal's law. The depth bomb used against the submarine was equipped with a hydrostat, which automatically caused it to explode at a given depth. The hydrostat was set to a pressure of 400kPa. At what depth below the surface - Cyclist motorcyclist meeting
The cyclist leaves place A at a speed of 25 km/h. A motorcyclist rides against him at a speed of 55 km/h. The distance between places A and B is 60 km. When and where do I meet? - Wooden board weight
What is the weight of a wooden board 1.8 m long, 70 cm wide, and 5 cm high? The density of wood is p = 450 kg/cubic meter. - Transformer oil temperature
The transformer is oil-cooled and transforms a power of 20MW with an efficiency of 92%. Determine the temperature of the oil at the outlet of the transformer if the oil was 20°C when it entered the transformer. 2.5 liters of oil will flow through the tran - Submarine pressure calculation The submarine is at a depth of 50 m below the concave surface of the sea. Find the hydrostatic compressive strength of seawater on a metal cover with an area of 0.6 m².
- The freezer
1. The temperature inside a freezer is minus 23 degrees Celsius. The temperature falls by a further 12 degrees Celsius. What is the new temperature? 2. What is the difference between temperatures of 12 degrees Celsius and 210 degrees Celsius? - Temperature conversion calculation When converting degrees Celsius (C) to degrees Fahrenheit (F), the relationship is used: F = C . 9/5 + 32. How many degrees Celsius are they in New York City if the thermometer reads 23 degrees Fahrenheit?
- Granite cube buoyancy
The granite cube with an edge length of 1 dm and a weight of 2.5 kg is immersed in a container with water. How much buoyancy makes it lighter? How much compressive force does the cube exert on the bottom of the container? - Railway vibration speed
The period of the natural oscillation of the railway car is 1.25s. The length of the rails is 25 m. At what speed does the vibration, caused by the impact of the wheels on the joints between the rails, reach a maximum? Give the result in m/s.
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