🔭 physics
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Force Inclined Plane
1. Énoncé du problème : Un corps de poids 800 gm.wt est placé sur un plan incliné lisse. L'inclinaison est telle que $\sin \theta = \frac{6}{10} = 0.6$. Le corps est maintenu en éq
Train Passing Time
1. **State the problem:** A train of length 70 m is moving at a speed of 30 m/s and passes through a station of length 170 m. We need to find the time it takes for the train to pas
Solar Powered Energy
1. The problem asks whether a solar-powered engine could produce infinite energy for a spacecraft by harnessing energy from multiple suns across the universe.
2. In physics, energy
Speed Of Light Limit
1. The problem asks why aircraft cannot travel faster than the speed of light.
2. According to Einstein's theory of relativity, the speed of light in vacuum, denoted as $c$, is the
Average Speed
1. **State the problem:** Beatrice walks 1 km at 4 km/h and then 2 km at 4.5 km/h. We need to find her average speed for the entire journey.
2. **Formula for average speed:** Avera
Wavelength Difference
1. **Problem Statement:** Two tuning forks have frequencies $n_1 = 320$ Hz and $n_2 = 340$ Hz. The velocity of sound in air is $v = 326.4$ m/s. We need to find the difference in th
Electric Charge
1. **Understanding Electric Charge:**
Electric charge is a fundamental property of subatomic particles. The three main subatomic particles are protons, neutrons, and electrons. Pro
Electric Charge
1. **Stating the problem:** We need to understand what electric charge is based on subatomic particles and how bodies become positively or negatively charged.
2. **Definition of el
Elastic Length Force
1. **Stating the problem:**
We have an elastic band initially 20 cm long. Each increase in force by 1 newton increases the length by 0.125 cm. We want to:
Elastic Band
1. **Problem statement:**
We have an elastic band initially 20 cm long. Each increase of 1 newton in force stretches the band by 0.125 cm.
Elastic Band
1. **Problem statement:**
We have an elastic band initially 20 cm long. Each increase of 1 newton in force stretches the band by 0.125 cm.
Projectile Range
1. **Problem Statement:**
The speed of a projectile at the highest point is given as $\frac{1}{\sqrt{2}}$ times its initial speed $u$. We need to find the horizontal range of the p
Charge Magnitude
1. **Problem statement:** We have two charges, +q and -q, separated by a distance of 9.0 cm, experiencing an electrostatic force of 5.0 N. We need to find the magnitude of each cha
Polonium Decay
1. **Problem Statement:** We are given the decay formula for polonium-210 (210 Po):
$$A(t) = 0.7 \left(\frac{1}{2}\right)^{\frac{t}{138.4}}$$
Displacement Vector
1. **Problem statement:** We need to find the displacement vector from Winnipeg to Saskatoon given two vectors: Winnipeg to Regina (530 km at 6.9° north of west) and Regina to Sask
Speed Difference
1. **Problem statement:** We need to find the difference between the speed of the space probe as it travels towards Venus and the speed as it travels away from Venus based on the d
Force Line Y Intercept
1. نُعطى القوة \( \mathbf{ن} = 3\hat{\mathbf{x}} + 2\hat{\mathbf{y}} \) عند نقطة ما، ومتجه عزم \( \mathbf{ن} \) حول نقطة الأصل هو \( 15\hat{\mathbf{z}} \).
2. نريد إيجاد نقطة تقاطع
Energy Diagram
1. **Problem Statement:**
Identify the diagram and analyze the energy conversions and magnitudes at points A, B, C, and D on a semicircular arc with given points.
Vector Products
1. **Problem 7: Find the scalar product of two vectors A and B** given $A=5.0$, $B=8.0$, and the angle $\alpha=30^\circ$ between them.
2. The scalar product (dot product) formula i
Vector Operations
1. Problem: Find the direction of vector $\mathbf{C} = 2\mathbf{A} - \mathbf{B}$ where $\mathbf{A} = 12\mathbf{i} - 16\mathbf{j}$ and $\mathbf{B} = -24\mathbf{i} + 10\mathbf{j}$.\n
Vector Operations
1. **Problem:** Find the direction of vector $\mathbf{C} = 2\mathbf{A} - \mathbf{B}$ where $\mathbf{A} = 12\mathbf{i} - 16\mathbf{j}$ and $\mathbf{B} = -24\mathbf{i} + 10\mathbf{j}