Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}}$

KE_{1} = (1/2)(2m)(v^{2}) = mv^{2}

Consider two objects (Object 1 and Object 2) moving in the same direction on a frictionless surface. Object 1 moves with speed v_{1} = v and has inertia m_{1} = 2m. Object 2 moves with speed v_{2}=2√v and has inertia m_{2}=m.

Which object has the larger kinetic energy? Which object has the larger kinetic energy?

a. Object 1 has the greater kinetic energy.

b. Object 2 has the greater kinetic energy.

c. The objects have the same kinetic energy.

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