Chapter 12, Problem 9FP

show your solution how you get the solutionsubject:Dynamics of Rigid bodies

As shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can move along x-axis. The graph has these values U_A=9J, U_C=20J and U_D=24J. The particle is released at position x=5 m with kinetic energy 4 J where the potential energy is U_B=12 j. What is the kinetic energy of the particle at x =3.5 m. Upt ... Uc UAF-- 4 6 7 x (m) A) 8J B none of them C 7J D 7.5J

Aerospace engineers sometimes compute the trajectories of projectiles like rockets. Arelated problem deals with the trajectory of a thrown ball. The trajectory of a ball is definedby the (x, y) coordinates, as displayed in Figure 3. The trajectory can be modeled as y = (tan θ0)x −g2v02cos2 θ0x2 + y0 Find the appropriate initial angle θ0, if the initial velocity v0 = 20 m/s and the distance to thecatcher x is 35 m. Note that the ball leaves the thrower’s hand at an elevation of y0 = 2 mand the catcher receives it at 1 m. Express the final result in degrees. Use a value of 9.81m/s2for g and employ the graphical method to develop your initial guesses. and write code for Newton Raphson method.