The rocket launch: Changing mass and its motion
Question: A rocket is launched in a constant gravity, 9.80 m/s\(^2\). The initial velocity is 400 m/s, and the burn […]
Category: Physics
A projectile motion with air resistance that is proportional to its velocity
Question: A ball is thrown and it tracks a projectile near the Earth’s surface subject to a resistive force due […]
Find the natural frequency: Free ends of a spring connected with two objects
Question: Two objects which have equal masses, \(m\), are connected with a spring whose force constant is \(k\). The objects […]
Find the lifetime of Delta baryon with the uncertainty principle
Question: The Delta baryon, \(\Delta\), is known as the lowest nucleon resonance that has a mass of 1232 MeV/c\(^2\) and […]
How to calculate the time dilation due to a traveling airplane
Question: Physicists conduct an experiment to measure time dilation of an atomic clock in a flying airplane. If the velocity […]
Find the length of a rope: Rope unwounded from a cylindrical wheel
Question: A cylindrical wheel with radius of 2-m rotates on a fixed frictionless horizontal axis. The moment of inertia of […]
Find the current as a function of time: A Resistor-inductor circuit with a steady voltage source
Question: A circuit that has a resistor, \(R\), and an inductor, \(L\), which are connected in series with a DC […]
Finding the magnetic field with Ampere’s law: A toroid carrying current
Question: A toroid has \(N\) turns both sides carrying equal current \(I\). The inner and outer radii are \(a\) and […]
How to add velocities in terms of the special theory of relativity
Question: The speed of light is measured in a liquid that has refractive index of \(n\). If the liquid is […]
Finding the electric potential of a thin finite rod
Question: A thin rod is placed along the z-axis that is stretched from \(z=-d\) to \(z=+d\). Let \(\lambda\) be the […]