Final answer:
Thus, with the given information, the answer cannot be determined .The question lacks sufficient information to accurately determine how fast the steel ball will move upward when pulled with a force twice its effective weight.
Step-by-step explanation:
In this physics problem, we are dealing with a scenario where a steel ball falls through a liquid at a constant speed of 10 cm/s, which implies that the forces of gravity and liquid resistance are balanced. When the force upward is twice the effective weight of the ball, it means that there is now a net force equivalent to the weight of the ball acting upward. You might initially think that the ball would accelerate upwards due to the extra force, but since the ball is already moving upward with a net force equal to its weight, doubling this force does not double the velocity but rather should result in an acceleration.
However, the question does not provide enough information to calculate the new velocity without knowing the specifics of the liquid's resistance to motion as a function of speed. This would require additional data on how the drag force changes with velocity for the liquid in question. Thus, with the given information, the answer cannot be determined with certainty, but it would be higher than the downward steady speed of 10 cm/s, assuming resistance remains constant or increases linearly with velocity.