An object’s momentum is its mass times its velocity. If an object’s kinetic energy is zero, then its velocity must also be zero, and so its momentum is also zero.
Other related questions:
Q: What is the momentum if kinetic energy is zero?
A: The momentum of an object is zero if its kinetic energy is zero.
Q: Can an object have momentum but no kinetic energy?
A: Yes, an object can have momentum but no kinetic energy. This can happen if the object is at rest.
Q: Can you have 0 momentum?
A: No, momentum cannot be zero.