17. [-110 Points] DETAILS SERPSE10 8.A.OP.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER As shown in the figure below, a preteen is playing with a pogo stick that has a spring with a force constant of 2.45 x 104 N/m. At position A (XA = O.150 m), the spring compression is a maximum and the child is momentarily at rest. At position B (XB = 0), the spring is relaxed and the child is moving upward. At position C, the child is again momentarily at rest at the top of the jump. C sf F \"A i 1 (D The combined mass of the child and the pogo stick is 43.0 kg. Although the child must lean forward to remain balanced, the angle is small, so let's aSSUme the pogo stick is vertical. Also assume he does not bend his legs during the motion. (a) Calculate the total mechanical energy of the preteen-stick-Earth system (in J), taking both gravitational and elastic potential energies as zero for X = 0. f ] J (b) Determine xC (in m). :m (c) Calculate the speed of the child (in role) at x = 0. , mfs (d) Determine the value ofx (in mm) for which the kinetic energy of the system is a maximum. :W (e) Calculate the child's maximum upward speed (in mfs). K mfs Need Help? _ 18. [-/10 Points] DETAILS SERPSE10 8.A.OP.030. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A 1.50-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v. = 3.30 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e) a m b d k C V= 01 P V=0 e (a) Find the distance of compression d (in m). m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distance D (in m) where the object comes to rest. m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left? m Need Help? Read It Watch It19. [-/10 Points] DETAILS SERPSE10 8.A.OP.031.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 10.0-kg block is released from rest at point @ in the figure below. The track is frictionless except for the portion between points Band @, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2 101 N/m, and compresses the spring 0.260 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points (B) and C. A 3.00 m B -6.00 m D Click here to begin! Need Help? Read It 20. [-/10 Points] DETAILS SERPSE10 8.A.OP.032.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 block of mass m, = 21.0 kg is connected to a block of mass my = 37.0 kg by a massless string that passes over a light, frictionless pulley. The 37.0-kg block is connected to a spring that has negligible mass and a force constant of k = 310 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 21.0-kg block is pulled a distance h = 25.0 cm down the incline of angle 0 = 40.0 and released from rest. Find the speed of each block when the spring is again unstretched. m2 Click here to begin! Need Help? Read It