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🔭 physics

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Hydrostatic Force
1. **State the problem:** We have a circular gate 125 cm in diameter immersed in water. The vertical distance from the top of the gate to the water surface is 60 cm, and from the b
Work Power
1. Problem 10: Calculate the work done to slide a box up an inclined plane. Given data:
Work Done
**Problem:** A boy on a bicycle drags a wagon full of newspapers at $0.800$ m/s for $30.0$ min using a force of $40.0$ N. How much work has the boy done? 1. **Identify the known va
Work Friction
1. **State the problem:** A girl pushes her brother's sled with a force of 300 N over a distance of 750 m. We want to find the work done by the girl considering the force of fricti
Work Lifting
1. The problem is to find the work done to lift a 20 kg sack of potatoes vertically by 6.5 meters. 2. Work done against gravity is calculated using the formula: $$\text{Work} = \te
Work Sandwich
1. **State the problem:** Calculate the work done by a force of 2.4 N pushing a sandwich across a table 0.75 m wide. 2. **Identify the given values:**
Magnetic Induction
1. **Problem statement:** A straight wire carrying current $I_1 = 5$ A is brought close to a circular wire of radius 10 cm carrying current $I_2 = 5$ A. Find the magnitude of the m
Work Done
1. **State the problem:** Calculate the work done by a 47 N force pushing a pencil 0.25 m against a force of 23 N.
Work Power Physics
1. Calculate the work done by a 47 N force pushing a pencil 0.26 m. Work is calculated by the formula $$W = F \times d$$ where $F$ is the force and $d$ is the displacement.
Weight Component
1. **Stating the problem:** A body of weight $W$ rests on an inclined plane that makes an angle $\theta$ with the horizontal. We want to find the component of the weight perpendicu
Force Component
1. **Problem Statement:** A force of magnitude 6 newtons acting North is resolved into two perpendicular components. Find the magnitude of the component in the direction halfway be
Speed Conversions
1. Problem: A car travels 1km in 30 seconds. Calculate its speed in m/s. Step 1: Convert 1 km to meters: 1 km = 1000 m.
Resultant Force
1. **State the problem:** Find the magnitude and coordinate direction angles of the resultant force \( \mathbf{F}_R = \mathbf{F}_1 + \mathbf{F}_2 \). 2. **Write the given forces:**
Travel Time Calculation
1. Stating the problem: A car travels from Town A to Town B at 60 km/h in 4 hours. We want to find out how long it takes to travel the same distance at 80 km/h. 2. Calculate the di
Average Speed
1. State the problem: We need to find the average speed of a plane that flies 3980 kilometres in 5 hours 24 minutes. 2. Convert the time to hours only: 5 hours 24 minutes equals $$
Average Speed
1. Let's start by stating the problem: We want to find the average speed of an object. 2. Average speed is defined as the total distance traveled divided by the total time taken.
Flux Density
1. The problem involves two parallel wires a and b carrying currents of I and 2I, respectively, with a point y inside the triangle formed by points a, b, and y. 2. The magnetic flu
Reaction Force
1. **State the problem:** We are given a circle with center C, line segments AD (vertical, length $L$) and CB (horizontal). The vectors are given: $T$ upwards along AD, $R$ leftwar
Velocity Time
1. **Stating the problem:** We have a velocity-time graph of a particle with three segments.
Particle Kinematics
1. **Problem 1: Position and velocities of a particle** Given: $$s = t^3 - 6t^2 - 15t + 7$$ ft, $$t$$ in seconds. Find total distance traveled at $$t=10s$$, average velocity, avera
Rigid Body Dynamics
1. The problem states: A particle's position is $s = t^3 - 6t^2 - 15t + 7$ ft and $t$ is in seconds. Find total distance traveled at $t=10$ s, average velocity, average speed, and