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equation for kinetic energy. This equation states that the kinetic energy E k is equal to the integral of the dot product of the velocity v of a body and the infinitesimal change of the bodys momentum p. Kinetic energy depends upon the velocity and the mass of the body.
Translational kinetic energy of a body is equal to one-half the product of its mass m and the square of its velocity v or 12mv2. For extremely high-speed particles it yields values that are too small. Combining this friction equation with the work equation gives us w mmgd.
Energy is usually divided into two types by chemists.
As m g and d will be constant between equations the greatest work done by friction will belong to the car with the greatest mass. Text KEfrac 1 2times text mtimes text v. It is assumed that the body starts with no kinetic energy when it is at rest motionless. Kinetic energy is typically measured in units of Joules and 1 Joule is equal to 1 kilogram-meters squared per second squared.