🔭 physics

1. **Stating the problem:** We are given a system of equations involving forces $FA$, $FB$, and an angle $\theta$:

1. **Problem statement:** A train starts from rest with constant acceleration. It travels at 30 ft/s at some point, and 160 ft farther it travels at 50 ft/s. We need to find: (a) a

1. **Énoncé du problème :** Un projectile est lancé verticalement avec une vitesse initiale de 35 m/s. Sa hauteur après $t$ secondes est donnée par la fonction $h(t) = 35t - 5t^2$.

1. **Problem statement:** A train passes a 50 m long platform in 4 \frac{1}{2} seconds and a pole in 2 seconds. Find the length of the train and its speed. 2. **Formulas and rules:

1. **Problem statement:** Given three displacement vectors \( \mathbf{B} = -\mathbf{i} + 2\mathbf{j} \), \( \mathbf{C} = 3\mathbf{i} - 2\mathbf{j} \), and \( \mathbf{D} \) unknown,

1. Problem statement: Find the orbital speed of Earth in a circular orbit around the Sun given the gravitational constant, the Sun's mass, and Earth's orbital radius. 2. Formula: T

1. The problem is to find the orbital speed of a planet or object orbiting the sun. 2. The formula for orbital speed $v$ in a circular orbit is given by:

1. **State the problem:** A bead Q on a horizontal wire AB experiences three forces: a force of magnitude $F$ N at $70^\circ$ above the horizontal to the left, a 10 N force at $30^

1. **Stating the problem:** We have a jointed wedge system and need to find the forces and tension by taking moments. 2. **Formula and rules:** The moment (torque) about a point is

1. **Problem Statement:** We need to solve a problem involving jointed wedges, which typically involves forces and equilibrium conditions. 2. **Key Concept:** For wedges in equilib

1. **State the problem:** A man starts a journey at 0900 hours and completes it at 1600 hours, covering a distance of 140 km. We need to find his average speed. 2. **Formula used:*

1. The problem is to understand and use the equation of motion: $v^2 = u^2 + 2as$. 2. This formula relates the final velocity $v$, initial velocity $u$, acceleration $a$, and displ

1. **Problem statement:** Calculate the net force (magnitude and direction) on charge $q_3$ due to charges $q_1$ and $q_2$. 2. **Given data:**

1. **Problem statement:** Three particles $q_1 = 5$ nC, $q_2 = -5$ nC, and $q_3 = 5$ nC are aligned on the x-axis with distances $2$ cm between $q_1$ and $q_2$, and $2$ cm between

1. **State the problem:** We have three charges on the x-axis: $q_1 = 3.0$ C at $x=+2.0$ m, $q_2 = -5.0$ C at $x=+4.0$ m, and $q_3 = 5.0$ C at $x=0$. We want to find the total elec

1. **Problem statement:** We have three charges along the x-axis: $q_1 = 15.0$ nC at $x=2.00$ m, $q_2 = 6.0$ nC at $x=0$, and $q_3$ with unknown position $x$ such that the net forc

1. **Problem statement:** Three charges lie along the x-axis: $q_1 = 15.0$ nC at $x=2.00$ m, $q_2 = 6.0$ nC at $x=0$, and $q_3$ at an unknown position $x$. The resultant force on $

1. **Problem statement:** Three charges $q_1 = 5$ nC, $q_2 = -5$ nC, and $q_3 = 5$ nC are placed along the x-axis with $2$ cm between $q_1$ and $q_2$, and $2$ cm between $q_2$ and

1. **State the problem:** Calculate the electric field $E$ at a distance $r = 5$ m from a particle with charge $q = 2$ nC (nanocoulombs). 2. **Formula used:** The electric field du

1. **State the problem:** We need to find the distance from a 2 mC charge where the electric field strength is 4 N/C. 2. **Formula used:** The electric field $E$ due to a point cha

1. The problem asks: If the charge is positive, what will happen to the direction? 2. In physics, the direction of the electric field or force depends on the sign of the charge.