Fundamentals of Physics - math word problems - page 29 of 50

Number of problems found: 985

Cement foundation
How many kilograms of cement are used to concrete the foundations under the machine if the concrete slab has the shape of a cuboid 4.6 m long, 2.7 m wide, and 45 cm high if 250 kg of cement is used per 1 m³?
Water mixing
We have 520 ml of hot water and 640 ml of water at 48 °C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65 °C?
Resistor circuit
Three resistors are connected according to the scheme (R1 in parallel with R2 and series with R3: R1||R2 + R3) so that R1=0.6 Ω, R2=2 Ω, R3=3 Ω, current I1 = 10 A. Calculate all the currents passing through the respective resistors R1, R2, R3 and all the
On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
Electric work
Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply.
Two resistors
Two resistors, 20 Ω, and 60 Ω, are connected in series, and an external voltage of 400 V is connected to them. What are the electrical voltages on the respective resistors? Please comment!
Resistor parallel connection
Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected next to each other (parallel). A current of 1.8 A flows through the first 200 Ω resistor. a) What current passes through the second and what current through the third resistor? b) W
Lowest voltage
Three resistors with resistors R1 = 10 kΩ, R2 = 20 kΩ, R3 = 30 kΩ are connected in series and an external voltage U = 30 V is connected to them. On which resistor is the lowest voltage?
Aircraft climbing
The average climb angle of the aircraft is 11° 20', and its average speed is 400 km/h. How long does it take to climb to a height of 3000 m?
Resistor voltage
How much voltage do we measure on a 400 Ω resistor when an electric current of 55 mA passes through it?
Copper Cu wire
Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic.
Trip average speed
Dad drove a business trip to a place 348 km away. He arrived at the scene after four hours. What was the average speed?
Driving distance
We drove 336 km in 4 hours. How many km would we drive at the same speed in 5 hours?
Meeting speed calculation
Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eve. They will meet in one and a half hours. Determine their speeds.
The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long?
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 6.3 V/0.3 A, 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.

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