Final answer:
To accelerate the 5 Newton rock at the same rate as the 0.5 Newton rock, ten times the force would be needed, equating to 5 Newtons more force required for the heavier rock.
Step-by-step explanation:
The question is asking how much more force will be required to accelerate the heavier rock, which weighs 5 Newtons, at the same rate as the lighter rock, which weighs 0.5 Newtons. From Newton's second law, we know that force equals mass times acceleration (F=ma). Since the mass of the first rock is ten times the mass of the second rock, it will require ten times more force to accelerate it at the same rate. Therefore, if we assume the acceleration is constant for both rocks, the force required to accelerate the first rock would be 10 times 0.5 Newtons, which is 5 Newtons more than the force required for the second rock.