1. [-/10 Points] DETAILS SERPSE10 11.1.P.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Given M = 4 i + 6 j - 3 k and N = 3i - 2 j - 6 k, calculate the vector product M x N. i + j + k Need Help? Read It 2. [-/10 Points] DETAILS SERPSE10 11.1.OP.003.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 Two vectors are given by A = 4 1 + 4 j and B = -6i + 6j. (a) Find A x B. (b) Find the angle between A and B. Click here to begin! Need Help? Read It 3. [-/10 Points] DETAILS SERPSE10 11.1.P.003. MY NOTES ASK YOUR TEACHER If IA x B| = A.B, what is the angle between A and B? Need Help? Read It 4. [-/10 Points] DETAILS SERPSE10 11.1.P.006. MY NOTES ASK YOUR TEACHER A student claims that she has found a vector A such that (2i - 3j + 4k) x A = (41 + 3j - k). (a) Do you believe this claim? Yes O No (b) Explain your answer. This answer has not been graded yet. Need Help? Read it5. [-/10 Points] DETAILS SERPSE10 11.2.OP.006.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 light, rigid rod of length / = 1.00 m joins two particles, with masses m, = 4.00 kg and my = 3.00 kg, at its ends. The combination rotates in the xy plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 4.70 m/s. Click here to begin! Need Help? Read It 6. [-/10 Points] DETAILS SERPSE10 11.2.OP.008.CTX. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You have a summer internship at NASA and are working on plans for a new space station to be launched into orbit around the Earth. The design of the space station is shown. It is to be constructed in the shape of a hollow ring of mass 42,500 kg. The structures other than the ring shown in the figure have negligible mass compared to the ring. Members of the crew will walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 150 m. The thickness of the ring is very small compared to the radius, so we can model the ring as a hoop. At rest when constructed, the ring is to be set rotating about its axis so that the people standing inside on this deck experience an effective free-fall acceleration equal to g. The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. Your supervisor asks you to determine the following: (a) the time interval during which the rockets must be fired if each exerts a thrust of 120 N and (b) the period of rotation of the space station after it has reached its target rotation. (a) Determine the time interval (in hr) during which the rockets must be fired if each exerts a thrust of 120 N. hr (b) Determine the period of rotation of the space station (in s) after it has reached its target rotation. Need Help? Read It