Final answer:
When a force is halved, the acceleration is halved. When the object's mass is halved, the acceleration is doubled. When force and mass are both halved, the acceleration remains the same. When force is halved and mass is doubled, the acceleration is one-fourth of the original.
Step-by-step explanation:
When a force is halved, the acceleration of an object will also be halved, assuming the mass stays the same. This is because force and acceleration are directly proportional according to Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F=ma).
If the mass of the object is halved, and the force remains constant, the acceleration will be doubled. This is because acceleration is inversely proportional to mass. When the mass is halved, the denominator in the equation for acceleration becomes smaller, resulting in a larger value for acceleration.
If both the force and the object's mass are halved, the acceleration will remain the same. By halving both the force and mass, the changes in both variables cancel each other out, resulting in the same acceleration as before.
If the force is halved and the object's mass is doubled, the acceleration will be one-fourth of the original acceleration. This is because the numerator in the equation for acceleration becomes half, while the denominator becomes double, resulting in a quarter of the previous acceleration.