1) A) Object 1 has the greater momentum
The magnitude of the momentum of an object is given by:

where
m is the mass of the object
v is its speed
Object 1 has a mass of  and a speed of
 and a speed of  , so its momentum is
, so its momentum is

Object 2 has a mass of  and a speed of
 and a speed of  , so its momentum is
, so its momentum is

So we see that  , so object 1 has the greater momentum.
, so object 1 has the greater momentum.
2) The objects have the same kinetic energy.
The kinetic energy of an object is given by

where
m is the mass of the object
v is its speed
Object 1 has a mass of  and a speed of
 and a speed of  , so its kinetic energy is
, so its kinetic energy is

Object 2 has a mass of  and a speed of
 and a speed of  , so its kinetic energy is
, so its kinetic energy is

So we see that  , so the objects have same kinetic energy
, so the objects have same kinetic energy