11. [-/10 Points] DETAILS SERPSE10 6.3.P.015.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 person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 583 N. As the elevator later stops, the scale reading is 385 N. Assume the magnitude of the acceleration is the same during starting and stopping. (a) Determine the weight of the person. (b) Determine the person's mass. (c) Determine the magnitude of the acceleration of the elevator. Click here to begin! Need Help? Read It 12. [-/10 Points] DETAILS SERPSE10 6.4.P.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A small piece of Styrofoam packing material is dropped from a height of 2.20 m above the ground. Until it reaches terminal speed, the magnitude of its acceleration is given by a = g - Bv. After falling 0.600 m, the Styrofoam effectively reaches terminal speed, and then takes 5.40 s more to reach the ground. (a) What is the value of the constant 87 (b) What is the acceleration at t = 07 m/s (down) (c) What is the acceleration when the speed is 0.150 m/s? m/s' (down) Need Help? Read It Watch It 13. [-/10 Points] DETAILS SERPSE10 6.4.P.021.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 small, spherical bead of mass 2.35 g is released from rest at t = 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be vy = 1.87 cm/s. (a) Find the value of the constant b in the equation R = -ov. (b) Find the time t at which the bead reaches 0.632v-- (c) Find the value of the resistive force when the bead reaches terminal speed. Click here to begin! Need Help? Read It15. [-/10 Points] DETAILS SERPSE10 6.A.OP.032.CTX. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are preparing for a physics magic show to be presented to children. You decide to present a rotating water trick. You place a cup of water of mass 180 g on a small square board of negligible mass as shown in the figure. The water is 6.66 cm deep in the cup. You then tie a string to holes in each of the corners of the board. Far above the figure, at a point 0.602 m above the board, the four strings meet and are tied together in a knot. You will grasp the knot and rotate the board and cup of water in a vertical circle fast enough so that the water will not fall out of the cup, even as it passes over the top of the circle. To design the trick appropriately, you need to determine the minimum angular speed (in rad/s) with which the cup must pass over the top of the circle so that the water does not spill out. @ 2 rad/s Need Help? Read It1T. [-!10 Points] DETAILS SERP5E10 6.A.P.O41. MY NOTES ASK YOUR TEACHER A car is traveling on a banked curve as shown in the gure below. The radius of curvature of the road is R, the banking angle is B, and the coefcient of static friction is p5. G) to} Determine the range of speeds the car can have without slipping up or down the road. (Use any variable or symbol stated above along with the following as necessary: g. Note that the subscript of pig is lowercase.) (b) Find the minimum value for us Such that the minimum speed is zero. (Use the following as necessary: R, 6, and g.) a = ;l Need Help? Result 18. [110 Points] DETAILS SERPSE1O 6.C.P.050.CTX. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You have a greatjob working at a major league baseball stadium for the summer! At this stadium, the speed of every pitch is measured using a radar gun aimed at the pitcher by an operator behind home plate. The operator has so much experience with this job that he has perfected a technique by which he can make each measurement at the exact instant at which the ball leaves the pitcher's hand. Your supervisor asks you to construct an algorithm that will provide the speed of the ball as it crosses home plate, 18.3 m from the pitcher, based on the measured speed V; of the ball as it leaves the pitcher's hand. The speed at home plate will be lower due to the resistive force of the air on the baseball. The vertical motion of the ball is small, so, to a good approximation, we can consider only the horizontal motion of the ball. You begin to develop your algorithm by applying the particle under a net force to the baseball in the horizontal direction. A pitch is measured to have a speed of 37.8 this as it leaves the pitcher's hand. You need to tell your supervisor how fast it was traveling (in rn/s) as it crossed home plate. (Hint: Use the chain rule to express acceleration in terms of a derivative with respect to x. and then solve a differential equation for v to find an expression for the speed of the baseball as a function of its position. The function will involve an exponential. Also make use of the table of terminal speeds in this section of the textbook.) ii mxs Need Help