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🔭 physics

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Boat Angle
1. **Problem statement:** A boat travels at 4.2 m/s relative to the water, which flows at 2.8 m/s horizontally (to the right). We want to find the angle $\theta$ the boat must head
Tension Explanation
1. Let's clarify the concept of tension in physics. 2. Tension is a force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from op
Chin Up Torque
1. **Problem Statement:** We want to understand why it is easier to do chin-ups when your hands are 30 cm apart compared to 90 cm apart, assuming the force exerted by your arms is
Energy Conservation
1. **Problem 1: Speed of 12.0 kg bucket striking the floor** We have two buckets connected by a rope over a pulley. The 12.0 kg bucket is initially 2.00 m above the floor and is re
Actuator Forces
1. **Problem Statement:** We have a rigid joint held in equilibrium by three actuators A, B, and C with unknown forces $x$, $y$, and $z$ respectively.
Collision Spheres
1. **Problem 1:** Two solid spheres A and B each of mass $m$ move towards each other on a frictionless horizontal line with velocities $2u$ and $u$ respectively. After an elastic c
Force Acceleration
1. **Stating the problem:** Given a mass $m=5.35$ kg, a kinetic friction coefficient $\mu_k=0.433$, and a position-dependent force
Force Position
1. **Problem Statement:** We have a block of mass $m=5.35$ kg subjected to a position-dependent force along the x-axis given by
Block Motion
1. **Problem Statement:** We have a block of mass $m=3.66$ kg subjected to a net force given by
Cable_Parabola
1. **Problem statement:** The cable of a suspension bridge forms a parabola. The distance between towers is 150 m, the cable height at towers is 22 m, and the lowest point is 7 m a
Subatomic Particles
1. The problem is to understand what subatomic particles are. 2. Subatomic particles are particles smaller than an atom.
Temperature Conversions
1. The problem asks to convert 60°C to °F. 2. The formula to convert Celsius to Fahrenheit is $$F = \frac{9}{5}C + 32$$.
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: