🔭 physics

1. **Stating the problem:** Given the displacement vector $\Delta \vec{r} = \langle 1.10, 1.05, -1.70 \rangle$ m over a time interval $\Delta t = 780$ s, and velocity vector $\vec{

1. **Stating the problem:** We are given the mass of an empty measuring cylinder, the combined mass of the cylinder and water, the volume of water, the weight of a stone in air and

1. **Problem Statement:** We need to understand the differences between friction on a horizontal plane and friction on an inclined plane. 2. **Friction Basics:** Friction is a forc

1. **سؤال 1: كرة معلقة بحبلين متزنة** المعطيات: $T_1=460$ نيوتن، الزاوية $53^\circ$، الكرة في حالة اتزان.

1. **Problem statement:** A uniform ladder of length $L$ leans against a building. A person of mass $m=75$ kg stands on it. The ladder's mass is $M=10$ kg. The coefficients of stat

1. Problem 5: Calculate the magnitude of the electrostatic force between two charged particles. 2. Given:

1. **State the problem:** We need to calculate the magnitude of the electrostatic force between two charged particles. 2. **Formula used:** The electrostatic force between two poin

1. **State the problem:** A car starts with an initial velocity $u=2$ m/s and moves with acceleration $a=\frac{5}{2} - \frac{t}{8}$ m/s$^2$. We need to find the distance traveled i

1. **State the problem:** We need to find the average speed of an athlete who runs 100 metres in 10.4 seconds, expressed in kilometres per hour (km/h). 2. **Understand the conversi

1. **Stating the problem:** We have a system of pulleys labeled A, B, C, and D arranged vertically and horizontally with ropes passing through them. We need to analyze the forces o

1. **Problem Statement:** We have three displacement vectors \(\vec{A}, \vec{B}, \vec{C}\) with magnitudes \(A=10\) cm, \(B=7\) cm, \(C=8\) cm and direction angles \(\alpha=53^\cir

1. Let's start by understanding what a vector is. A vector is a quantity that has both magnitude (length) and direction. 2. The vector $\mathbf{F_A}$ typically represents a force v

1. **Problem Statement:** We need to find the equivalent noise level when five machines with noise levels A=90 dB, B=84 dB, C=97 dB, D=88 dB, and E=94 dB are all running together.

1. **Problem statement:** A ball is thrown vertically with height given by the function $$y=16.6t-4.9t^2$$ meters after $$t$$ seconds. We need to find:

1. **State the problem:** We have a car with initial velocity $u = 20$ m/s.

1. **State the problem:** We are given the velocity function $$v = 82(1 - e^{-0.39t})$$ and asked to find the time $$t$$ when the velocity $$v$$ is 70 feet per second. 2. **Write t

1. **State the problem:** A car and a van start moving from city K to city H at the same time.

1. **State the problem:** We want to find the average speed when given speed and time for different segments of a trip. 2. **Formula:** The average speed $v_{avg}$ is given by the

1. Let's state the problem: You are given speed and time, and you want to find the distance traveled. 2. The formula to find distance when speed and time are known is:

1. The problem is to find the average speed in kilometers per hour (km/h). 2. The formula for average speed is:

1. **Problem:** A car goes 6 km east and then 4 km north. Find its displacement. 2. **Formula:** Displacement in two dimensions is found using the Pythagorean theorem: $$d = \sqrt{