Mass m1 is F divided by a1 and mass m2 is F divided by a2. The combined acceleration is F divided by the total mass, which simplifies algebraically to a1 a2 divided by the sum of a1 and a2.
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Option (iv) is correct because according to Newton’s third law of motion, whenever two objects interact during a collision, they exert equal and opposite forces on each other regardless of differences in their masses.
Option (iii) Object C is correct. In Fig. 6.37, the position-time curve for Object C indicates changing velocity and acceleration, which requires a non-zero net force by Newton’s laws of motion.
The frictional force exerted by the floor is equal in magnitude to F and acts in the direction opposite to motion. Net force is zero because the table moves with a constant velocity.