PHY 2054 Physics 1 Review Questions/Problems 4. Calculate the velocity functions given the following position functions: Name a. x(t) = 5m + (4m/s)1 1. Write three kinematic equations that are true for constant acceleration. b. x(t) = 2m cos((10rad/s)t) 2. An 20kg object is moving in the positive x- direction at 5m/s (vx= 5m/s). A 100N force is applied to the object in the positive y- direction for eight seconds. At the end of the eight seconds, what is: a. The velocity in the y-direction. b. The speed of the object. 5. Given the graphs of position (x) vs. time (t), draw the graphs of velocity vs. time and acceleration vs. time. 3. Repeat problem 2, but this time the force depends on time in a linear manner: F(t) = (100N/s)t X t af. Kinetic energy 10. If vector A has magnitude of 7 and vector B has magnitude of 9, and the angle between them is 30 calculate the following: a. AOB g. Total mechanical energy b. |AXB| h. Total mechanical energy for a mass-spring system i. Conservation of total mechanical energy 12. If a force is conservative, what does that mean about the work done by the force in 11. State the equations for the following moving an object: quantities: a. From one point to a different point? a. Newton's Second Law b. The spring force b. Along a closed path? c. The spring potential energy 13. The position function of a mass-spring system is given by x(t) = 0.4m cos(20art). Calculate the following: a. The amplitude d. Newton's Universal Law of Gravity b. The angular frequency e. The gravitational potential energy related to Newton's Universal Law of GravityX 7. What are unit vectors? er V 8. Draw the x, y, and z unit vectors on the three dimensional coordinate system a below. 6. For the vectors A and B shown, draw the 9. If A = 3x + 6y and B = 4x- 2y, calculate the following vectors: following: a. A + B a. 2A b. 2A - B b. - B C. |Al c. C= A+B d. D = 2A -B\f