🔭 physics
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Signal Bandwidth Noise Bb9710
1. **State the problem:**
We have a radio receiver operating at 30°C detecting frequencies from 70 kHz to 130 kHz.
Bullet Maximum Height 48325E
1. **State the problem:** A bullet is shot at an angle of 25 degrees above the ground and hits a target 301.5 meters away. We need to find the maximum height the bullet reaches.
2.
Power Decibel Conversion A02C22
1. **Stating the problem:** Convert 500 watts (W) to decibel-watts (dBW) and decibel-milliwatts (dBm) using the formula $X(\text{dB}) = 10 \log X$.
2. **Formula and explanation:**
Friction Cot Rule Bb29Bc
1. **Stating the problem:** We need to solve a friction-related problem using the cotangent (cot) rule.
2. **Formula and explanation:** The cotangent rule in friction problems ofte
Triangle Forces 1Ab239
1. **State the problem:**
Draw a triangle of forces representing the tensions $T_M$ and $T_N$ and the weight $W$ acting on the body.
Tension Strings 1160E4
1. **State the problem:**
A body of mass 8 kg is suspended by two strings Mx and Nx attached to the ceiling. The strings make angles of 55° and 65° with the downward vertical. We n
Resultant Force Couple 8Ce003
1. **State the problem:** We have three forces \(\mathbf{F}_1, \mathbf{F}_2, \mathbf{F}_3\) acting at points \((1,2), (2,1), (3,2)\) respectively. The forces are given by:
\[\mathb
Solve For T A38A69
1. The problem is to solve for $t$ in the displacement equation $$d = v_i t + 0.5 a t^2$$ where $d$ is displacement, $v_i$ is initial velocity, $a$ is acceleration, and $t$ is time
Force Components 204857
1. The problem involves resolving forces into their components along the x and y axes using trigonometric functions.
2. The formula for resolving a force $F$ at an angle $\theta$ i
Resultant Force 17C238
1. **Problem Statement:** Determine analytically the magnitude and direction of the resultant force from four forces acting at a point:
(i) 10 N pull N 30°E
Resistance Calculation 5B1189
1. **Problem statement:** Find the resistance of a device when a current of 2 amperes flows through it at a voltage of 230 volts.
2. **Formula used:** Ohm's Law states that resista
Capacitor Charge Discharge 377A6E
1. مسئله را بیان میکنیم: یک خازن با ظرفیت $1\,\text{AF}$ به یک باتری $100\,\text{V}$ متصل شده و پس از شارژ شدن، در دمای $0^\circ C$ در یک مقاومت تخلیه میشود.
2. فرمولهای مهم:
Projectile Basket 1Ca9B6
1. **Problem Statement:**
A projectile is thrown towards a basket located 75 m away horizontally and 7.4 m high vertically. We need to determine mathematically if the object will s
Moment Force A14Feb
1. **State the problem:** We need to find the moment of the force \(\vec{F} = (10, \frac{\pi}{3})\) acting at point \(A(\sqrt{3}, 2)\) about the origin \(O\).
2. **Understand the f
Perpendicular Length 8E06Ea
1. **Problem Statement:** Find the length of the perpendicular drawn from point $B(1,-1)$ to the line of action of the force $\vec{F} = 4\hat{i} - 3\hat{j}$ acting at point $A(2,-1
Magnetic Field Loops 02F418
1. **Problem Statement:**
A long wire carrying current $I$ is bent into five loops. We need to determine how the magnetic field inside this arrangement of loops appears from the ob
Magnetic Flux Density 167538
1. **Problem Statement:** Two long parallel wires carry currents $I$ and $2I$ upward. Point $P$ is midway between them, each wire at distance $d$ from $P$. The magnetic flux densit
Magnetic Flux Zero 958Fc5
1. **Problem Statement:** Two long isolated wires are placed perpendicular to each other in the same plane, each carrying a current of intensity $I$. We need to find the points whe
Distance Velocity Cc853D
1. **State the problem:** A car moves with a velocity of 100 m/s for 10 seconds. We need to find the distance it covers.
2. **Formula used:** Distance traveled under constant veloc
Bike Speed 0466Ac
1. **State the problem:** A bike travels 90 km in 3 hours. We need to find its speed.
2. **Formula used:** Speed is calculated by the formula:
Distance Between Charges 073089
1. **Problem:** Find the distance between charges $q_1 = +2\ \mu C$ and $q_2 = +35\ \mu C$ given that the electric field is zero at a point 16 cm from $q_2$.
2. **Formula:** The el