ESSAY. Write your answer in the space provided or on a separate sheet of paper.
Using equations: The force due to gravity between two objects can be described using the equation
Fg= G M1 M2 / d2. How would one use Newton’s second law to setup an equation one could use to find the
gravitational acceleration experienced by an isolated astronaut 10,000 km from the Earth’s center?
Do Things We Cannot Directly Detect Exist? In the early part of the 20th century, physicists experimentally
discovered that a certain type of radioactive decay did not seem to conserve either energy or momentum. These
experiments were “explained” by postulating the existence of an undetected (and potentially undetectable)
particle, dubbed the neutrino, that carried away the missing energy and momentum. It was argued that
neutrinos interacted so weakly with matter that they were extremely hard to detect. If you were a scientist at
this time, how would you evaluate the reasonableness this solution given Occam’s razor?
Argument by Analogy: A friend of yours is convinced of the influence of the Moon on everyday human affairs.
He cites a supposed correlation between crime and the occurrence of a full moon as proof. He even speculates
that the gravitational influence of the Moon is the mechanism by noting that it is the gravitational pull of the
Moon that causes the tides. “After all“, he argues, “as over half a human’s weight is water, the Moon must affect
the flow of blood in human beings!” How would you explain to your friend that this analogy, between the ocean
tides and water in the human body, is profoundly flawed. Are there any alternate explanations for a link
between moon phase and crime?
Hallmarks of a Scientific Theory: All great scientific theories explain existing observations, unify and extend
existing concepts, and make new and novel predictions that can be experimentally tested. Using Newton’s
postulate of universal gravitation as a case study, explicitly demonstrate how it satisfies each of these criteria.