3. Define and give examples of the four ways (tropic, nastic, morphogenic, and taxis) that a plant or a cell can respond to a stimulus.

1. The position of a particle moving in circular motion in the xy plane is = 3cos(2t) î + 3sin(2t)j, where r is in meters and t is in seconds. What is the period of the circular motion?_____

2. An object with mass m is hanging from a wire attached to the ceiling of an elevator. The elevator is moving downward and has a downward acceleration of magnitude a. The gravitational acceleration is g. Find the magnitude of the tension of the wire. _____

3. The position of a particle of mass m kg is given by x(t)=At3+B, where A and B are constants, and the unit of x is in meter, and t is in second. Find the instantaneous net power done on this particle at t=2 s._____

4. A bullet of mass m strikes a stationary block of mass M from below with a speed u. The mass of M is three times of m (M=3 m). After the collision, the bullet embeds in the block. The gravitational acceleration is g. To what height does the block rise? Express your answer by u and g. _____

5. A mass m is connected to two springs, with spring constants k1 and k2, as shown in the figure. Find the oscillation period for this configuration. _____

6. The maximum oscillation speed of a string carrying a sinusoidal wave is . When the displacement of a point on the string is half its maximum, what is the oscillation speed of the point?_____

7. The ideal Diesel cycle is shown in the figure, where a to b and c to d are adiabatic processes, b to c is constant pressure compression, and d to a is constant volume process. The temperature at a, b, c, d points are , and , respectively. The ratio of molar specific heat at constant pressure to that at constant volume is γ = Cp/Cv = 5/3. Find the entropy change (ΔS) of the engine after a complete cycle: a → b → c → d →a._____

8. Same conditions as the ideal Diesel cycle mentioned in above question, find the efficiency of the engine._____

9. Four electrons move from point A to point B in a uniform electric field as shown below. Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B._____

10. Addition of a metal slab of thickness a between the plates of a parallel-plate capacitor of plate separation d is equivalent to introducing a dielectric with dielectric constant k between the plates. The value of k is:_____

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