A 10 g bullet traveling at 410 m/s strikes a 11 kg, 1.1-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. Part A What is the angular velocity of the door just after impact? Express your answer to two significant figures and include the appropriate units. W = Submit ΜΑ Value Request Answer Units ?

A 10 g bullet traveling at 410 m/s strikes a 11 kg, 1.1-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. Part A What is the angular velocity of the door just after impact? Express your answer to two significant figures and include the appropriate units. W = Submit ΜΑ Value Request Answer Units ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 12.8 m * N which accelerates it uniformly from rest through a total of 160 revolutions in 16.0 s. Part A What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units. M = O μA Submit Value Units Request Answer ?
Determine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s. Find the x-component. Express your answer using two significant figures. Lx = ΜΕ ΑΣΦ Submit Request Answer ▼ Part B Find the y-component. Express your answer using two significant figures. Ly= ΜΕ ΑΣΦ Submit Request Answer Part C Find the z-component. Express your answer using two significant figures. ? kg-m²/s ? kg-m²/s
2. A yo-yo consists of two solid disks, each of mass M and radius 3R. The two disks are connected by a rod of radius R and negligible mass. Assume the yo-yo starts at rest. a. Use the view on the right to draw the extended free body 3R diagram for the yo-yo. b. What is the moment of inertia of the yo-yo about an axis through its symmetry axis? м м c. Write Newton's 2nd law for the yo-yo. Choose your coordinate system carefully. d. Write the rotational form of Newton's 2nd law for the yo-yo. Treat the center of mass as being at the axis of rotation. Choose the positive direction of the rotation so a is positive. e. The point where the yoyo is momentarily at rest is where the string contacts the rod of the yo-yo. Use this to obtain a relation between the acceleration of the center of mass and the angular acceleration. f. Determine the linear acceleration of the yo-yo.
4. A0.5 kg ball flies toward a stationary rod (m = 5 kg, L = 0.05 m) free to rotate about one end, as shown below. The ball sticks to the rod and the rod/ball system rotates at 5 rad/s. Treat the ball as a point particle. a What is the total angular momentum of the rod/ball system? b What is the initial velocity of the ball?
5. A 108 cm, 0.73 kg golf club is swung from rest for 0.5 seconds with a constant acceleration of 10 rad/s2.a. What is the angular velocity of the club head when it impacts the ball? b. What is the angular momentum of the club head when it impacts the ball? please show all steps, work, and formulas
A person of mass 76 kgkg stands at the center of a rotating merry-go-round platform of radius 3.5 mm and moment of inertia 900 kg⋅m2kg⋅m2 . The platform rotates without friction with angular velocity 0.90 rad/srad/s . The person walks radially to the edge of the platform. Part A Calculate the angular velocity when the person reaches the edge. Express your answer using three significant figures and include the appropriate units.
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The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/srad/s to 35 rad/srad/s in 2.6 revolutions. Part A What is the angular acceleration of the propeller? Express your answer in radians per second squared.
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A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 94.8 kg. A person pushes on the outer edge of one pane with a force of F = 71.7 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. 1.2 m 1.2 m Number i Units
Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly. a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2). b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?
Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute.Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 13 times while accelerating uniformly. a. Calculate the angular speed described in Case 1, given as f1 = 78 revolutions per minute, in units of radians/second. b. How many revolutions does the turntable make while accelerating in Case 1? c. Calculate the magnitude of the angular acceleration of the turntable in Case 1, in radians/s^2. d. Calculate the magnitude of the angular acceleration of the turntable (in radians/s^2) while increasing to 120 RPM (Case 2). e. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?