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 , so its momentum is
Object 2 has a mass of and a speed of , so its momentum is
So we see that , 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 , so its kinetic energy is
Object 2 has a mass of and a speed of , so its kinetic energy is
So we see that , so the objects have same kinetic energy