Question: You are the science officer aboard the starship Enterprise, leading a scientific exploration of a neutron star. Your mission is to send a set of two robotic observation probes near the neutron star's surface to measure local conditions. The probes have a mass of 10 kg each and are linked by a 1 m high tensile steel cable (breaking tension 3.5 x 104 N). To perform their work, the two probes must be oriented such that one probe is always directly above the other. Assume that the neutron star has a 10 km diameter and 2 times the Sun's mass. What is the minimum altitude the probes can achieve above the neutron star's surface without snapping the connection cable?