Final answer:
To obtain the slope of the new experiments when the object's mass is doubled and kinetic energy for every height is also doubled, we would multiply the old slope by 2. The direct relationship between mass and kinetic energy in the equation KE = (1/2)mv^2 explains this change.
Step-by-step explanation:
If we redo the experiment with an object that has twice the mass, and we find that the kinetic energy obtained for every height is doubled, we need to determine how to adjust the slope of the original experiment to match the results of this new experiment. Kinetic energy (KE) is given by the equation KE = (1/2)mv2, where m is the mass and v is the velocity. If we double the mass (m), assuming the velocity doesn't change, the kinetic energy will also double since the mass is directly proportional to kinetic energy. Accordingly, the slope of the graph plotting kinetic energy against height would also double in value. Therefore, to obtain the slope of the new set of experiments, we would multiply the old slope by 2. The correct answer to the question is A) Multiplying by 2.