Final answer:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Doubling the force or halving the mass will result in a doubling of the acceleration, while doubling the mass or halving the force will result in a halving of the acceleration.
Step-by-step explanation:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
So, if the force is doubled, the acceleration of the object will also double (a).
If the mass is halved, the acceleration will be doubled (b).
If the force is doubled and the mass is doubled, the acceleration will stay the same as the force and mass cancel each other out (c). If the force is doubled and the mass is halved, the acceleration will be quadrupled (d).
If the force is halved, the acceleration will be halved (e). If the mass is doubled, the acceleration will be halved (f).
If the force is halved and the mass is halved, the acceleration will stay the same (g).
If the force is halved and the mass is doubled, the acceleration will be quartered (h).