Part I. 

Part II. 1.  
2.  
Total: 
Part I. Do all 8 questions. 5 pts each
Use: G = 6.7 x 10^{11} Nm^{2}/kg^{2}
Use: ^{2}
= 10
1.) The correct equation for the SHM (Simple Harmonic Motion) described in the graph is
2. If the amplitude of SHM is increased from x_{m} to 2x_{m} the total energy is multiplied by:
3.) If the frequency of SHM is increased from f to 2f the total energy is multiplied by:
4.) If a SHO (Simple Harmonic Oscillator) is at x = x_{m} for t = 0, its equation for x(t) must be
x(t) = ______________________________________ (Fill in the correct expression)
5.) A 2 kg mass oscillates with SHM with a frequency of f =1.0 Hz and an amplitude of x_{m} = 0.30m. Its total energy is:
6.) An object released from rest on the surface of a spherical asteroid of radius R = 500 km with no atmosphere accelerates downward toward the center of the asteroid with an acceleration of a = 0.67m/s^{2}. The mass of the asteroid is:
7.) In a solid uniformly dense sphere of radius R, let us look at a small mass m at the point P. To compute the net gravitational force on m we have to use:
8.) Each planet can be considered a satellite moving around the sun because the sun's attractive force is much larger than any other force on any given planet.
What is a constant for all planets? Use: r = radius of planets' orbits
T = period of planets' orbits
v = tangential speed of planets
Part II. Do both problems. 30 pts each. BE NEAT. WRITE COMPLETE EQUATIONS. SHOW ALL YOUR WORK.
1.) A high tech tower is built with its top one earth radius above the earth's surface. Calculate the quantities that are requested below in terms of G, m, M_{E}, and R_{E}.
Note: Neglect the Earth's rotation in this problem and neglect air friction!
2.) A simple harmonic oscillator of mass 2.0 kg oscillates according to the equation: x = 4.0 cos _{ } Note: The time t is given in seconds and the displacement x in m!
Calculate: