Q7 A child has a marble racetrack toy. The toy has a marble of mass 0.075g that rolls around a circular frictionless track. The marble can complete 3 rotations around the track in a clockwise direction every 2 seconds. The diagram shows the frictionless track with 2 points Y and Z labelled. 6120° How long does it take the marble to move from point Y to Z? (A) 0.11 seconds (B) 0.16 seconds (C) 0.20 seconds (D) 0.22 seconds
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Concept used:
Time depends on amount of rotation of toy.
It is independent of mass being traced.
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- 2The force magnitudes are F1 = 45 N and F2 = 28 N. The dimension h = 0.7 m and the dimension I= 0.4 m. Calculate the moment couple to one decimal place. F2 F2 3030° F1 0.4 m F1The Tasmanian Devil has a twist angular momentum which increases from 0 to 50kg·m2/s in 0.25 s as he initiates a twisting jump (his famous tornado). During this 0.25 s,his moment of inertia about his twisting axis is 2.2 kg·m2.a. How large is the average torque that produces this change in angular momentum?b. How fast is his twist angular velocity at the end of the 0.25 s?A 200 Nm
- RMQ6: please answer all parts and explain stepsA 1.8 kg bicycle tire with a radius of 31 cm rotates with an angular speed of 155 rpm. Part A Find the angular momentum of the tire, assuming it can be modeled as a hoop. Express your answer using two significant figures. L = ΠΙ ΑΣΦ www ? kg m²/s .A diver comes off a board with arms straight up and legs straight down, giving her a moment of inertia about her rotation axis of 18 kg-m². She then tucks into a small ball, decreasing this moment of inertia to 3.6 kg m². While tucked, she makes two complete revolutions in 1.0 s. Part A If she hadn't tucked at all, how many revolutions would she have made in the 1.7 s from board to water? Express your answer using two significant figures. 15] ΑΣΦ N= ? rev
- NE Chapter 10, Problem 062 Z Your answer is partially correct. Try again. In the figure, three 0.07 kg particles have been glued to a rod of length L = 5 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis (a) Number Units 0.0010110 (b) Number Units 0.030 (c) NumberTo.050 Units (d) Number UnitšT kg-m 2 m Click if you would like to Show Work for this question: Open Show Work emA 80 g, 31-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 14 g ball of clay traveling horizontally at 2.2 m/s hits and sticks to the very bottom tip of the rod.To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?A bowler uses a lane with a coefficient of kinetic friction of 0.156. The bowler releases her 5.30 kg bowling ball with a translational speed of 3.45 m/s. At the moment of release, the ball is not rotating. As the ball slides, it begins to rotate. What is the work ?ncWnc done by friction on the ball before it transitions to rolling without slipping? Use g=9.81 m/s2 for the acceleration due to gravity.
- A bicycle racer is going downhill at 12.9 m/s when, to his horror, one of his 2.27 kg wheels comes off when he is 80.0 m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0 cm in diameter and neglect the small mass of the spokes. Part A How fast is the wheel moving when it reaches the foot of the hill if it rolled without slipping all the way down? Η ΑΣΦ V₁ = 28.0 ? m/s Submit Previous Answers Request Answer × Incorrect; Try Again Part B How much total kinetic energy does the wheel have when it reaches the bottom of the hill? ΜΕ ΑΣΦ Ke 1780 Submit Previous Answers Request Answer × Incorrect; Try Again ? JA 110 g ball and a 240 g ball are connected by a 40-cm-long, massless, rigid rod. The balls rotate about their center of mass at 150 rpm. Part A What is the speed of the 110 g ball? Express your answer to two significant figures and include the appropriate units. V = μA Value Units ?A 1550-kg car rounds a circular turn of radius 155 m, toward the left, on a horizontal road. Its angular momentum about the center of the turn has magnitude 2.86 x 10 kg m²/s. What is the direction of the car's angular momentum? O toward the center of the turn Overtically downward Submit Previous Answers vertically upward away from the center of the turn ✓ Correct Part B What is the speed of the car? Express your answer with the appropriate units. V= Part C for Part B for Part B undo for Part B redo for Part B reset for Part B keyboard shortcuts for Part B help for Part B Value Submit LfinaF What is the magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road? Express your answer with the appropriate units. Submit Units Request Answer for Part C for Part Cundo for Part C redo for Part C reset for Part C keyboard shortcuts for Part C help for Part C Units Value Request Answer