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🔭 physics

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Net Moment Sign
1. The term "net moment" refers to the total moment (torque) resulting from all forces acting on a body. 2. By convention, a positive moment usually means a counterclockwise rotati
Moment Axes
1. Let's clarify the terms: "moment of vertical" and "moment of horizontal" likely refer to moments about vertical and horizontal axes, commonly used in physics and engineering. 2.
Motion Equation
1. **Problem Statement:** Given the motion equation:
Average Velocity
1. The problem states that the displacement of the missile above the ground at time $t$ seconds is given by the function $$x(t) = -5t^2 + 100t + 10.$$ We need to estimate the avera
Zero Function
1. نبدأ بكتابة الدالة المعطاة من النص: يبدو أن الدالة تمثل حركة سقوط جسم من ارتفاع معين خلال زمن معين، حيث الزمن بالدقائق والارتفاع بوحدات معينة. 2. المطلوب هو إيجاد صفر الدالة، أي
Velocity Vector
1. **State the problem:** We have two velocity vectors for projectiles fired from cannons:
Gravity Acceleration
1. **State the problem:** We have data for speed $v$ (m/s) at different times $t$ (s) for a sensor dropped on a new planet. The equation relating speed and time is $$v = u + at$$ w
Tension Problems
1. State the overall task: verify and correct the six numbered physics/math computations supplied by the user, show intermediate work, and give clear final values. 1. Problem 1: Ve
Rope Tension
1. Problem 1: A rope spans 34 feet between two solid supports, with a 296-pound weight attached at its midpoint causing the rope to dip 7 feet at the lowest point; compute the tens
Momentum Free Fall
1. **State the problem:** A ball of mass 0.5 kg falls freely from a height of 180 cm (which is 1.8 m) under gravity $g = 10$ m/s². We need to find the momentum of the ball when it
Resultant Force Ship
1. The problem states that a ship moves towards the south with a uniform velocity of 3 m/s in a straight line. 2. Uniform velocity means the speed and direction are constant, so th
Quadratic Time
1. **State the problem:** Solve the equation $$4.0 = 12.5t - \frac{1}{2}(9.8)t^2$$ for $t$. 2. **Rewrite the equation:**
Force On Charge
1. **State the problem:** We have three charges: $Q_1 = +13$ nC, $Q = +7$ nC, and $Q_2 = +11$ nC. Charge $Q$ is placed midway between $Q_1$ and $Q_2$, which are 17 cm apart. We nee
Pulley Mass
1. **State the problem:** Find the mass of block $B$ in a pulley system in static equilibrium, given the mass of block $D$ and the geometry of the system. 2. **Tension in the rope:
Mass Block B
1. **State the problem:** We have a pulley system with two blocks, B and D, connected by a rope over pulleys. Block D has a mass of 5 kg and hangs vertically a distance $a=2.6$ m b
Satellite Distances
1. **Problem statement:** (a)(i) Write the distances of satellites A, B, C, D, and E in order from shortest to longest.
Swimming Speed
1. **State the problem:** You swim at 1.0 m/s north relative to the water, and the river flows at 0.30 m/s east. We want to find your speed relative to a ground-based observer. 2.
Relative Speed South
1. **State the problem:** You are rowing south at 9.0 m/s relative to the water, and the river water is flowing south at 1.0 m/s relative to the ground. We need to find your speed
Box Displacement Angle
1. **State the problem:** A box is dropped from an aeroplane 2000 m high, moving horizontally at 100 m/s. It takes 20.2 s to hit the ground. We need to find the angle between the h
Box Displacement
1. **State the problem:** A box is dropped from an aeroplane 2000 m high, moving horizontally at 100 m/s. It takes 20.2 s to hit the ground. We need to find the magnitude of the di
Velocity Components
1. The problem involves finding the components of a velocity vector where the resultant velocity is 90 km/h pointing northwest (NW), and there is an eastward wind velocity. 2. Sinc