This calculator works out the linear momentum of a moving object from its mass and velocity, and goes on to show its kinetic energy and the average force needed to bring it to a stop. Momentum is one of the cornerstone ideas in physics: it is the product of an object's mass and its velocity, often written p equals m times v, and it captures how much motion something has and how hard it is to stop. A loaded truck rolling slowly can carry the same momentum as a light car moving fast, which is why momentum, not just speed, governs collisions and impacts. The principle that total momentum is conserved in a collision underpins everything from vehicle safety design to rocket propulsion and the behaviour of particles. This tool makes the calculation effortless. You enter the mass in kilograms and the velocity in metres per second, and it returns the momentum in kilogram metres per second. It also computes the kinetic energy, the energy the object carries because of its motion, which rises with the square of the velocity and explains why high speed is so dangerous. If you add a stopping time, it works out the average force required to halt the object in that time, a direct application of impulse, since a change in momentum equals force multiplied by time. The results update as you type, so you can explore how doubling the speed affects momentum and energy differently. Use it for physics homework, for understanding collision and braking problems, or to build intuition for why mass and speed both matter. The calculations use standard SI units and are rounded for display.
Momentum = mass x velocity. Kinetic energy = half x mass x velocity squared. Stopping force = momentum / stopping time. SI units, rounded for display.
Momentum is the mass multiplied by the velocity. Kinetic energy is one half of the mass times the velocity squared, so it grows with the square of the speed. The average stopping force comes from impulse: the change in momentum divided by the time taken to stop, which equals momentum over stopping time when the object is brought to rest.
For a 1000 kilogram car travelling at 20 metres per second, the momentum is 1000 times 20, which is 20,000 kilogram metres per second. Its kinetic energy is half of 1000 times 20 squared, which is 200,000 joules. To stop it in 2 seconds takes an average force of 20,000 divided by 2, which is 10,000 newtons.
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