Final answer:
In an elastic collision between two objects of masses 5 kg and 3 kg, object A initially moving at 5 m/s in the +x-direction and object B initially moving at 3 m/s in the -x-direction, the resulting velocities are 3 m/s in the -x-direction for object A and 0 m/s in the +x-direction for object B.
Step-by-step explanation:
In an elastic collision, the total momentum is conserved and the total kinetic energy is also conserved.
Initially, object A has a mass of 5 kg and object B has a mass of 3 kg. Object A is moving with a velocity of 5 m/s in the +x-direction, while object B is moving with a velocity of 3 m/s in the -x-direction.
After the collision, object A will be moving with a velocity of 3 m/s in the -x-direction. To find the velocity of object B, we can use the conservation of momentum:
Initial momentum of A = Final momentum of A + Final momentum of B
(5 kg)(5 m/s) = (5 kg)(3 m/s) + (3 kg)(v)
15 kg m/s = 15 kg m/s + 3 kg * v
3 kg * v = 0 kg m/s
v = 0 m/s
Therefore, the velocity of object B after the collision is 0 m/s in the +x-direction.