🔭 physics

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

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

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

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

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:

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

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

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

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

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

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

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

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:

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

1. **Problem statement:** A body weighing 10 kg wt rests on a rough horizontal table. A force of magnitude 20 kg wt acts on it inclined upward at an angle of 30° to the horizontal.

1. **Problem statement:** A body of weight $w$ newton rests on a rough horizontal plane. A horizontal force $F$ newton acts on it trying to move it. The resultant reaction $R$ lies

1. **Stating the problem:** A body weighing 1 newton is on a rough horizontal plane with a coefficient of friction $\mu = \sqrt{3}$. A horizontal force is applied trying to move th

1. **Problem statement:** A body weighing 88 newtons is on a rough inclined plane inclined at $60^\circ$ to the horizontal. The body is about to slide, so we need to find the magni

1. **Problem statement:** A body weighing 4 kg is placed on a rough inclined plane at an angle of 45° to the horizontal. The coefficient of static friction is $\mu_s = \frac{1}{2}$

1. **Problem statement:** A body weighing 10 N is placed on a rough inclined plane at angle $\theta$ and is about to move under its own weight.

1. **Problem statement:** A body weighing 10 N is placed on a rough inclined plane at angle $\theta$ and is about to move under its own weight. Another body weighing 20 N, made of