PhysicsClassical Physics
Two Dimensional Motion and Vectors: Position, Velocity, and Trajectory
Integrate a constant acceleration vector with zero initial position and velocity, then sketch the straight-line trajectory.
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PhysicsClassical Physics
Buoyancy Equation: Prove Archimedes’ Principle from Pressure
Derive the buoyancy equation from the pressure difference across a submerged cylinder and identify the weight of displaced fluid.
PhysicsClassical Physics
Momentum Equation: Elephant, Dart, and Hunter
Use the vector momentum equation to find the elephant and hunter momenta, compare the dart’s momentum magnitude, and keep the diagram’s directions explicit.
PhysicsClassical Physics
Is a Collision Elastic When They Stick Together? Asteroid Example
The two asteroids undergo a perfectly inelastic collision. Add their momentum components to find a combined speed of about 900 m/s at 12.8° toward the second asteroid’s incoming direction.
PhysicsClassical Physics
Mechanical Energy Sample: Speed and Tension in a Vertical Circle
Use mechanical energy to obtain the top speed, then radial force balance to obtain string tension: about 4.65 m/s at the top, 59.8 N at the bottom, and 1.0 N at the top.
PhysicsClassical Physics
Work and Physics: Pulling a Sled at Constant Velocity
Account for the pull’s upward component when finding friction. The pulling force does about +1.79 kJ of work, friction does −1.79 kJ, and the total work is zero.
PhysicsClassical Physics
Rotation of Inertia: A Thin Rod with an Axis at L/3
Calculate the moment of inertia of a thin rod about an axis at L/3 by integration and verify ML²/9 with the parallel-axis theorem.
PhysicsClassical Physics
Units of Rotational Momentum: Comparing Two Race-Car Turns
Compare a Formula One car’s angular momenta in two turns, with SI units kg·m²/s, reference centers, and right-hand-rule directions.
PhysicsClassical Physics
Graph Velocity vs Time from the Position Function x(t) = 5t
Differentiate x(t)=5t to obtain v(t)=5 m/s, then draw separate position and velocity graphs with labeled axes and sample coordinates.