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Mechanics & Motion

Explore our collection of mechanics calculators built around Newton’s laws and the physics of motion. From force, mass, and acceleration to projectile motion, friction, momentum, and collisions, these tools help students, teachers, and engineers solve classical mechanics problems quickly and accurately — with formulas shown step by step.

Conservation of Energy

This calculator computes the total mechanical energy at two different states using the principle of conservation of energy. Enter the mass, height, and velocity at state 1, along with the height at state 2, to find the velocity at state 2 and verify that total energy is conserved.

Centripetal Force

This calculator allows you to compute the centripetal force acting on an object moving in a circular path. Centripetal force is the inward force required to keep an object traveling along a curved trajectory. Enter the known values and choose which variable to solve for.

Inelastic Collision

This calculator determines the final velocity and kinetic energy lost during a perfectly inelastic collision in one dimension, where two objects collide and stick together. Enter the masses and initial velocities of both objects to find the combined velocity after impact and the amount of kinetic energy dissipated.

Elastic Collision (1D)

This calculator determines the final velocities of two objects after a one-dimensional elastic collision. Enter the masses and initial velocities of both objects to find their velocities after impact, using the conservation of momentum and kinetic energy principles.

Atwood Machine

This calculator helps you determine the acceleration and rope tension in an Atwood machine — a classic physics system consisting of two masses connected by a rope over a frictionless pulley. Enter both masses and the gravitational acceleration to instantly compute the system's acceleration and the tension in the rope.

Tension in Ropes

This calculator computes the tension in ropes supporting a hanging mass. Choose between a single rope configuration or two ropes at equal angles. It is useful for physics students, engineers, and anyone analyzing forces in statics and dynamics.

Inclined Plane

This calculator determines the acceleration of an object sliding down an inclined plane, taking into account the angle of inclination and the coefficient of friction. It can also solve for the angle or friction coefficient when acceleration is known.

Friction Force

This calculator allows you to compute the friction force between two surfaces using the coefficient of friction and the normal force. It is useful for physics students, engineers, and anyone analyzing contact forces in mechanics.

Kinematic Equations

Calculate any missing variable in uniformly accelerated motion. Enter the known values and select which variable to solve for — initial velocity, final velocity, acceleration, time, or displacement — and get instant results using the SUVAT equations.

Displacement

This calculator helps you solve displacement problems using the kinematic equation s = ut + ½at². Whether you need to find displacement, initial velocity, acceleration, or time, simply select what you want to calculate and enter the known values.

Final Velocity

This calculator allows you to determine the final velocity of an object undergoing constant acceleration. Using the fundamental kinematic equation v = u + at, you can solve for any one of the four variables when the other three are known.

Impulse Calculator

This calculator helps you determine the impulse applied to an object, the force exerted, or the time interval over which the force acts. Based on the fundamental physics relationship J = FΔt, it is useful for students, engineers, and anyone working with momentum and force problems.

Power

This calculator computes the momentum of an object using the formula p = mv. It is useful for physics students, engineers, and anyone studying motion and collisions.

Power

This calculator allows you to compute power, work, or time using the fundamental physics relationship P = W/t. Whether you're solving mechanics problems, analyzing energy systems, or studying thermodynamics, it handles all three variables with automatic unit conversions.

Elastic Potential Energy Calculator

This calculator helps you determine the elastic potential energy stored in a spring or elastic object, based on Hooke's Law. You can calculate the energy given the spring constant and displacement, or find either the spring constant or displacement when the other two values are known.

Potential Energy

This calculator helps you determine the potential energy of an object based on its mass, height, and gravitational acceleration. It’s useful for students, engineers, and physics enthusiasts to understand energy in mechanical systems. Simply input the values, and the tool instantly provides the result.

Kinetic Energy

Calculate the kinetic energy of a moving object based on its mass and velocity. This calculator is useful for physics students, educators, and engineers to quickly determine how much energy an object has due to motion.

Total Work

This Total Work Calculator helps you determine the net work done on an object based on its mass and change in velocity. It’s useful for physics students, teachers, and engineers analyzing motion and energy transfer. The calculation is based on the Work-Energy Theorem, which relates work to changes in kinetic energy.

Work

This calculator helps determine the amount of work done when a force is applied over a distance. It’s useful for students, engineers, and anyone studying physics or mechanics. Just enter the applied force and the distance moved to get the result instantly.

Acceleration

This calculator helps you determine the acceleration of an object using Newton’s second law of motion. Simply input the force applied (F) and the mass of the object (m), and it will compute the acceleration (a). It’s a useful tool for physics students, engineers, and anyone working with motion dynamics.

Mass

This Mass Calculator helps you determine the mass of an object using the fundamental physics formula: mass = force ÷ acceleration. It’s a useful tool for students, engineers, and physics enthusiasts who need quick and accurate calculations without doing the math manually.

Force

This Force Calculator helps you quickly determine the force acting on an object using Newton’s Second Law. By entering mass and acceleration, you can compute the resulting force in newtons (N). Ideal for physics students, engineers, and anyone working with motion and mechanics.