Let's calculate the gravitational potential energy of both objects by using the equation:
[tex]U=mgh[/tex]
where
m is the mass of the object
g is the gravitational acceleration
h is the height of the object above the ground
For the soccer ball (m=2 kg), the gravitational potential energy is
[tex]U=mgh=(2 kg)(9.81 m/s^2)(1 m)=19.6 J[/tex]
While for the basketball (m=1 kg) the gravitational potential energy is
[tex]U=mgh=(1 kg)(9.81 m/s^2)(1 m)=9.8 J[/tex]
Therefore, we see that the soccer ball has larger gravitational potential energy than the basketball.