Question

if two objects are moving at the same speed, which factor would result in greater kinetic energy? mass of the object color of the object shape of the object texture of the object

Explanation:

Step1: Recall the formula for kinetic energy

The formula for kinetic energy is \(K.E.=\frac{1}{2}mv^{2}\), where \(m\) is the mass of the object and \(v\) is the speed of the object.

Step2: Analyze the effect of each factor

• Mass of the object: From the formula \(K.E.=\frac{1}{2}mv^{2}\), if \(v\) (speed) is constant, \(K.E.\) is directly proportional to \(m\) (mass). So, a larger mass will lead to greater kinetic energy.
• Color of the object: Color has no relation to the formula \(K.E.=\frac{1}{2}mv^{2}\). It does not affect the kinetic energy.
• Shape of the object: Shape does not appear in the kinetic - energy formula \(K.E.=\frac{1}{2}mv^{2}\) (assuming no air - resistance differences due to shape, and the problem just mentions speed, not motion through a fluid where shape might affect speed indirectly. But since speed is given as same, shape has no impact on \(K.E.\) in the context of \(K.E.=\frac{1}{2}mv^{2}\)).
• Texture of the object: Texture is not a variable in the formula \(K.E.=\frac{1}{2}mv^{2}\) and has no effect on kinetic energy.

Answer:

Mass of the object