Both experience equal magnetic forces by Newton’s third law. The light compass needle pivots freely with negligible friction, whereas the much heavier bar magnet has high inertia and is held stationary by static friction with the surface.
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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.
For statement (i) the velocity will remain the same. For statement (ii) the magnitude of velocity will increase. For statement (iii) the magnitude of velocity will decrease due to opposing acceleration.
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.
The impact velocity is 14.14 m s-1, derived from square root of two g h. Total kinetic energy equals 150 J, which divided by 3000 N resistive force gives a sand depression depth of 0.05 m.