An object of mass 2000 g possesses 100 J kinetic energy. The object must be moving with a speed of

To find the speed of the object, we use the kinetic energy formula: KE = 1/2 * m * v², where KE is kinetic energy, m is mass, and v is velocity. First, the mass must be converted from grams to kilograms to maintain SI unit consistency. Given the mass is 2000 g, it is equivalent to 2 kg. Substituting the known values into the formula, we have 100 J = 1/2 * 2 kg * v². This simplifies to 100 = v². Taking the square root of both sides, we find that v = 10 m/s. Therefore, an object with a mass of 2 kg and 100 J of kinetic energy must be moving at a speed of 10.0 m/s. This relationship demonstrates that kinetic energy is directly proportional to the mass and the square of the velocity.