A person stands on a skateboard and throws a heavy medicine ball forward. (a) Describe all action-reaction force pairs acting in the situation.(b) Explain why the person and skateboard move backward.(c) If the person throws the ball harder, what happens to their backward velocity? Why?

Cart A (mass = 0.75 kg0.75\, \text{kg}) moves at 2.0 m/s2.0\, \text{m/s} toward Cart B (mass = 1.25 kg1.25\, \text{kg}), which is at rest. The carts collide and stick together. (a) What is the total momentum before the collision?(b) What is the velocity of the combined mass after the collision?(c) How much kinetic energy is lost in the collision?(d) What type of collision is this, and why?

A ball is thrown straight upward with an initial velocity of 18.0 m/s18.0\, \text{m/s} from the top of a 25.0 m25.0\, \text{m} tall building. (a) How long does it take the ball to reach its highest point?(b) What is the maximum height above the ground that the ball reaches?(c) How long does it take the ball to hit the ground after being released?(d) What is the speed of the ball just before it hits the ground?

A 6.0 μF6.0\,\mu\text{F} capacitor is connected to a 9.0 V9.0\,\text{V} battery.What is the charge stored on the capacitor?

A loop of area 0.02 m20.02\,\text{m}^2 leaves a magnetic field of 0.25 T0.25\,\text{T} in 0.10 s0.10\,\text{s}.What is the average induced EMF?

A charged particle enters a uniform magnetic field moving perpendicular to the field lines. (a) Describe the shape of the particle’s path and explain why it follows that path.(b) How would increasing the speed of the particle affect the motion?(c) What happens to the particle’s motion if its charge is reversed?

Two point charges are located on the x-axis: q1=+3.0 μCq_1 = +3.0\,\mu\text{C} at x=0 mx = 0 \,\text{m} q2=−2.0 μCq_2 = -2.0\,\mu\text{C} at x=0.40 mx = 0.40\,\text{m} (a) Calculate the electric potential at point PP located at x=0.20 mx = 0.20\,\text{m}.(b) A +1.0 μC+1.0\,\mu\text{C} test charge is placed at point PP. What is its potential energy?(c) How much work would be required to bring the test charge from infinity to point PP?

Select the illustration with the correct placement of the promoters and terminators for the eukaryotic genes A, B, and C.  Use the legend below to interpret the figures.  

Print or write the questions and complete this exam using a pen or dark pencil: Don’t close this window until you’re finished answering all of the questions. For full credit show all of your work. A. (25 points) For the hydrogen atom, 1. Write Schrodinger’s equation 2. Write (but do not solve) the integral expression for the average radius for an electron in a 3s orbital B. (25 points) For the simple harmonic oscillator 1. Write (but do not solve) the integral expression for the probability of finding the second excited state of the oscillator at x between -A and +A 2. Write (but do not solve) the integral expression for the average momentum of the second excited state C. (25 points) Write Schrodinger’s equation for a Li2 molecule in the +4 oxidation state D. (25 points) For the particle with a mass of m in a box with a length L, 1. Write the integral expression for the average position for the second excited state 2. For a conjugated molecule with 10 pi electrons and a length of 28 nm, calculate the longest wavelength transition  E. (25 points) Suppose someone comes to you and states that they had found a new amino acid with the following structure. Draw the expected 2D NMR spectrum, For full credit, label all of the peaks in the spectrum with the corresponding atom in the structure.  

Print or write these questions and complete this exam using a pen or dark pencil: Don’t close this window until you’re finished answering all of the questions. Part B. Open questions. 1. (30 points) For the one-dimensional particle in a box of length of length L a. Write the wavefunction for the second excited state b. Calculate the energy for the second excited state when L = 2 nm and m = 1.1 ng. c. Write an integral expression for the probability of finding the particle between L/3 and L for the second excited state. d. Write an integral expression for the average position of the particle for the second excited state.   2. (20 points) For a simple linear (not cyclic) conjugated molecule with 8