Answer
The object with a mass of 1 kg and velocity of 2.0 m/s has a greater kinetic energy.
Work Step by Step
$KE=\frac{1}{2}mv^2$
The object with a mass of 2.0 kg and velocity of 1.0 m/s
$KE=\frac{1}{2}mv^2$
$KE=\frac{1}{2}*2.0*1.0^2=1.0$ J
The object with a mass of 1.0 kg and velocity of 2.0 m/s
$KE=\frac{1}{2}mv^2$
$KE=\frac{1}{2}*1.0*2.0^2=2.0$ J