Two point masses are held in place a distance d apart. Another point mass M is midway between them. M is then displaced a small distance x perpendicular to the line connecting the two fixed masses and released. a. Show that the magnitude of the net gravitational force on M due to the fixed masses is guven approximately by Fnet = 16GmM/d^3x if x ≪ d.
b. What would the period be if m = 100kg and d = 25.0cm?
c. Will M oscillate if it is displaced from the center a small distance x toward either of the fixed masses?.

Which lists the main components of darwin’s theory of evolution? a. random mutations drive evolution; the evolution of a population happens slowly; organisms have common ancestors; organisms do not change. b. natural selection drives evolution; the evolution of a population happens slowly; organisms have common ancestors; organisms change over time. c. natural selection drives evolution; the evolution of a population happens rapidly; organisms have common ancestors; organisms change over time. d. random mutations drive evolution; the evolution of a population happens rapidly; organisms have common ancestors; organisms do not change.

Name three different units of energy used to measure heat and describe what type of situations each is usually used.

An owl dives toward the ground with a constant velocity of 4.40 m/s at 53.0° below the horizontal. the sun is directly overhead and casts a shadow of the owl directly below it. what is the speed (in m/s) of its shadow on level ground?