I can help you with the first question regarding the change in kinetic energy of an object when its linear momentum is halved.
(a) When the linear momentum of an object is halved, the kinetic energy of the object does not change. This is because kinetic energy is directly proportional to the square of the velocity of an object, while linear momentum is directly proportional to velocity. Therefore, if linear momentum is halved, velocity is also halved, resulting in the kinetic energy remaining the same.
If you have any more questions or need further clarification, feel free to ask!