Get help solving problems involving the motion of objects under external forces.
Compute average velocity, displacement or time step by step using a single formula:
Derive the solution for projectile motion:
Calculate the density of an object step by step:
Explore the steps for solving common calculations involving waves and oscillating systems.
Find the step-by-step solution for the change in the frequency of sound from a moving source:
Explore the steps to solve for the frequency of a spring under damped harmonic motion:
Calculate the speed of a wave along a string:
Follow the steps for solving equations involving the electromagnetic force.
Derive the force and potential between two electric charges:
Compute the steps for the total resistance of resistors in parallel:
Explore the computation for capacitance between two concentric spheres:
Calculate the magnetic field inside an ideal solenoid:
Show the steps for the voltage gain and output voltage of an inverting amplifier:
Follow the steps for solving equations for thermodynamic systems and principles.
Compute the change in internal energy:
Show how to derive the heat capacity ratio:
Find the efficiency of thermodynamic cycles step by step:
Compute the steps for solving optics equations, including refraction, reflection and diffraction.
Find the steps to solve for the angle of refraction:
Solve for image distance and magnification in different mirrors:
Explore lens equations step by step:
Find the steps for relativistic calculations like time dilation, red shifts and kinetic energy.
Find the steps for relativistic effects like length contraction:
Solve for relativistic red shifts:
Compute the steps for relativistic momentum:
Get step-by-step assistance with astronomy problems.
Convert parallax to distance in parsecs or light years:
Compute the steps to determine the period for a body to orbit the sun:
Derive luminosity from apparent magnitude and distance:
Learn the steps to calculate the entropy of a massive black hole:
Compute the steps for solving calculations involving quantum mechanics.
Solve for the energy of a photon given its wavelength:
Find the steps to solve for the Compton wavelength shift:
Compute the broadening of emitted wavelengths due to quantum uncertainty:
Apply the de Broglie relationship to find the wavelength of particles moving at high speed:
Solve calculations for the mechanics of fluids step by step.
Calculate flow through a pipe using Poiseuille's law:
Solve for a Reynolds number step by step:
Compute the height reached by capillary action:
Apply the law of conservation of energy to derive physical properties of a system.
Find the maximum height reached by a projectile launched from the ground:
Determine the maximum velocity reached by a pendulum: