14. [-110 Points] I DETAILS I SE RPSE1O 7.6.09.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A 44D-N child is in a swing that is attached to a pair of ropes 1.90 m long. Find the gravitational potential energy of the child- Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal J i (b) when the ropes make a 350 angle with the vertical J :1 (c) when the child is at the bottom of the circular arc ' J L Need Help? as\": 'I 5. [-110 Points] DETAILS SERPSE10 7.7.P.{I31.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A ZOO-kg particle moves from the origin to position having coordinates x = 6.50 rn and y = 6.50 m as shown in the gure. _. One force on the particle is the gravitational force acting in the negative 1/ direction. Using the equation (W = For cos 6 = F - A, calculate the work done by the gravitational force in going from O to along the following paths. ,'l' (m) (a) the purple path (0%) J {ta} the red path (0%) r N J \\ (c) the blue path (0} J \\. (d) Your results should all be identical. Whv? L I This answer has not been graded yet. Need Help? 16. [-/10 Points] DETAILS SERPSE10 7.7.P.033.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A force acting on a particle moving in the xy plane is given by F = (2yi + x2j), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.85 m and y = 5.85 m, as in the figure below. y (m) C B (x, y) x (m) A (a) Calculate the work done by F on the particle as it moves along the purple path (AC). (b) Calculate the work done by F on the particle as it moves along the red path (o(BO). (c) Calculate the work done by F on the particle as it moves along the blue path (OC) (d) Is F conservative or nonconservative? (e) Explain your answer to part (d). Click here to begin! Need Help? Read It 17. [-/10 Points] DETAILS SERPSE10 7.8.P.035.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A single conservative force acts on a 4.80-kg particle within a system due to its interaction with the rest of the system. The equation F = 2x + 4 describes the force, where F, is in newtons and x is in meters. As the particle moves along the x axis from x = 1.00 m to x = 5.21 m, calculate the following. (a) the work done by this force on the particle (b) the change in the potential energy of the system (c) the kinetic energy the particle has at x = 5.21 m if its speed is 3.00 m/s at x = 1.00 m Click here to begin! Need Help? Read It18. [-/10 Points] DETAILS SERPSE10 7.9.P.038. MY NOTES ASK YOUR TEACHER Consider the potential energy curve shown in the figure below. U() 4 A (E B 6 * (m) -2 (a) Determine whether the force Fx is positive, negative, or zero at the five points indicated. (Enter your answers in the table below. Point F sign A --Select--. B ---Select-- ---Select-- D ---Select-- (E ---Select- (b) Indicate points of stable, unstable, and neutral equilibrium. (Enter your answers in the table below.) Point Equilibrium A ---Select--- B ---Select-- C C --Select-- C D ---Select--- ---Select-.. (c) Sketch the curve for F versus x from x = 0 to x = 9.5 m. 121 414 ME481 1/21 918 This answer has not been graded yet. Need Help? Read It 19. [-/10 Points] DETAILS SERPSE10 7.A.P.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.55 kg is placed on the incline at a distance d = 0.276 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0, the spring constant is k = 545 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m Need Help? Read It