🔭 physics

1. **Problem Statement:** We want to understand how to add two vectors together and find the resultant vector. 2. **Formula and Rules:** Vector addition is done by adding correspon

1. **Problem Statement:** Two particles P and Q with masses 4 kg and 7 kg are moving towards each other along the same straight line with speeds 10 m/s each. After collision, they

1. مسئله: یک پیچۀ سیمی مستطیل شکل با ابعاد ۱۰ cm در ۰.۵ cm و ۲۰ دور، حامل جریان ۰.۱۰۸ آمپر است و در صفحه xy قرار دارد. زاویه بین صفحه پیچۀ سیمی و میدان مغناطیسی یکنواخت به بزرگی ۰.

1. **Problem Statement:** Calculate the magnetic force on each side of a right-angled triangular loop carrying current $i=4.00$ A with sides $0.5$ cm, $1.20$ cm, and $1.30$ cm plac

1. The problem: Understanding the formula used in carbon dating. 2. Carbon dating is a method used to determine the age of an object containing organic material by measuring the am

1. The problem: Describe the theory of relativity. 2. The theory of relativity is a fundamental theory in physics developed by Albert Einstein. It consists of two parts: special re

1. **Problem Statement:** Calculate the gravitational force between two objects with masses $m_1 = 5$ kg and $m_2 = 10$ kg separated by a distance $r = 2$ m. 2. **Formula:** The gr

1. 問題陳述：一農耕機以繩條牽往裝滿柴的雪橇，沿著半地拉了 20 m 的距離，繩條張力為 4000 N，角度 $\theta = 37^\circ$。求繩條張力對雪橇所作的功 $W$。 2. 公式與規則：功的定義為力與位移在力方向上的分量的乘積，公式為：

1. **State the problem:** A bullet of mass 0.5 g (which is 0.0005 kg) travels at 200 m/s and exits a tree at 100 m/s. We need to find the kinetic energy transferred to the tree. 2.

1. **State the problem:** Given the position function $$x(t) = 0.050 \cos(10t + 6\pi)$$ in SI units, find the velocity $$v$$ and acceleration $$a$$ at time $$t = 0.10$$ seconds. 2.

1. **State the problem:** A car covers a distance of 200 km in 60 minutes. We need to find the speed of the car in metres per second (m/s). 2. **Formula used:** Speed is given by t

1. **Problem statement:** Find the coordinate of the tip of the suspended rod when the rod is displaced by an angle $\theta$ from the vertical and the disk rotates by an angle $\ph

1. **Problem Statement:** We want to sketch the graph of the time period $T$ of a uniform rod pendulum as a function of the distance $x$ from the rod's center of mass to the pivot

1. The problem is to find the force component $F_{xx}$. 2. Typically, $F_{xx}$ represents the force in the x-direction or the x-component of a force vector $\vec{F}$.

1. **State the problem:** We are given the expression $$\frac{90x^2 p}{35x^2 m_e} = 2.8228348433771 \times 10^{29} \times \frac{1}{m \cdot s}$$

1. The problem is to calculate the magnetic field $B(x)$ at a distance $x = -0.12$ m using the Biot-Savart law formula: $$B(x) = \frac{\mu_0 \cdot i \cdot r^2}{2 \left( r^2 + x^2 \

1. **Problem Statement:** Given vectors Q = 200 lb at 120°, P = 722 lb at 60°, F = 448 lb at 210°, and T = 400 lb at 290°, find:

1. **Problem Statement:** Find the sum of the moments of the given forces about point C in the rectangle ABCD with dimensions AB = 8 cm and AD = 6 cm. 2. **Understanding Moments:**

1. **Stating the problem:** Calculate the moment $AB \times CD$ in newton-meters (N.m) given the geometry and forces described.

1. **State the problem:** Noah rows across a river that is 48 m wide, but the current carries her 15 m downstream. We need to find the actual distance Noah travels. 2. **Understand

1. **Problem statement:** Find the magnitude and direction of the resultant of three coplanar forces: i) 40 N at 45° east of south