🔭 physics

1. **Stating the problem:** We have a velocity-time equation given as $$v = \frac{9}{6} - \frac{2}{t}$$ and we want to find the time when the object changes direction and analyze t

1. مسئله: مکان متحرکی به صورت تابع زمان داده شده است: $$x = -t^3 + 6t + 16$$. می‌خواهیم تندی متوسط این متحرک را در 8 ثانیه اول محاسبه کنیم. 2. فرمول تندی متوسط: تندی متوسط برابر اس

1. **Problem Statement:** Given a body of mass 16 kg, the kinetic energy $K$ is plotted against velocity $v$. At velocity $v_1$, kinetic energy is $K_1$, and at velocity $v_1 + 18$

1. **Stating the problem:** Given initial position $\vec{x}_1 = -8\,\mathrm{m}\,\hat{i}$, acceleration $\vec{a} = 2\,\mathrm{m/s}^2\,\hat{i}$, and initial velocity $\vec{v}_1 = -6\

1. Let's start by stating the problem: You want to learn about the equations of linear motion, specifically Form 2. 2. Linear motion equations describe the motion of an object movi

1. مسئله: جسمی به جرم $m=150\,g=0.15\,kg$ از نقطه $A$ روی نیمکره‌ای به شعاع $r=6\,cm=0.06\,m$ رها می‌شود و پس از چند رفت‌وبرگشت در مدت زمان $t=1.5\,s$ در نقطه $B$ متوقف می‌شود. نیر

1. **State the problem:** A cup of tea cools from 90°C, losing 10% of its temperature difference from room temperature each minute. The room temperature is 20°C. We need to find th

1. **State the problem:** A rigid body rotates at 5 revolutions per second about an axis through the origin with direction ratios 2, -1, 3. We need to find the magnitude of the vel

1. The problem states that the height $h$ of a fluid column is given by the formula: $$h = \frac{P}{\rho g}$$

1. **State the problem:** We have the height function of a ball thrown upwards given by $$h(t) = 2 + 20t - 4.9t^2$$ where $h(t)$ is the height in meters and $t$ is the time in seco

1. Problem 1: A body of weight 800 gm.wt is on a smooth inclined plane at angle $\theta$ where $\sin \theta = \frac{6}{10}$. A horizontal force $F$ keeps it in equilibrium. Find $F

1. The term "1 G" typically refers to the acceleration due to Earth's gravity. 2. This acceleration is approximately $9.8$ meters per second squared ($9.8\ \text{m/s}^2$).

1. **State the problem:** We have two point charges $Q_1 = Q_2 = 2 \times 10^{-12}$ C separated by a distance $a = 3 \times 10^{-2}$ m.

1. **State the problem:** A train moves at a speed of 60 km/h. We want to find the distance it covers in 2.5 hours. 2. **Recall the formula for distance:** Distance = Speed \times

1. **State the problem:** We need to find the total mass of the whole staircase given that the bottom step has a mass of 70 kg and the staircase consists of 10 steps. 2. **Analyze

1. **State the problem:** Four capacitors $C_1, C_2, C_3,$ and $C_4$ are connected in series between terminals A and B. 2. **Given data:**

1. **Problem statement:** We have three currents $I_1$, $I_2$, and $I_3$ in a uniform magnetic field $\vec{B}$ pointing horizontally to the right. We want to find which current exp

1. **State the problem:** We need to find the total mass of the staircase given that the bottom step has a mass of 70 kg and there are 10 steps in total. 2. **Analyze the problem:*

1. **State the problem:** We have a square loop of side length $l$ with a circular region of magnetic field of radius $R$ inside it. The magnetic field $B_0$ is directed into the p

1. **State the problem:** We have a concrete staircase made of multiple steps. The bottom step has a mass of 70 kg. We need to find the total mass of the whole staircase in tonnes.

1. **State the problem:** A positive charge $q=3$ C is moved from point A to point B by the electrostatic force of charge $Q$ at point O. The work done by this force is $1.5$ J. We