Final answer:
The quantities that can be determined using the provided information are the distance between the balls, the angle between the threads, the radii of the balls, and the tension force exerted by the string.
Step-by-step explanation:
The quantities that can be determined using the provided information are:
a) The distance between the balls: The distance between the balls can be determined by measuring the angle between the threads and using trigonometry to calculate the distance.
b) The angle between the threads: The angle between the threads can be determined by measuring the distance between the balls and using trigonometry to calculate the angle.
c) The radii of the balls: The radii of the balls can be determined by measuring their masses and using the known density of aluminum to calculate the volume, and then using the volume formula for a sphere to calculate the radius.
d) The tension force exerted by the string: The tension force exerted by the string can be determined by summing the forces acting on each ball (gravity and electric forces) and using Newton's second law to calculate the tension force.