10:16 PM Fri Dec 4100%A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m =18 kg runs at speed v =2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk.RmANGULAR MOMENTUM(a) Consider the system consisting of the child and the disk, but not including the axle. Which of the followingstatements are true, from just before to just after the collision?The momentum of the system doesn't change.The torque exerted by the axle is zero because the force exerted by the axle is very small.The momentum of the system changes.The angular momentum of the system about the axle hardly changes.The axle exerts a force on the system but nearly zero torque.The torque exerted by the axle is nearly zero even though the force is large, because |F| is nearly zero.The angular momentum of the system about the axle changes.(b) Relative to the axle, what was the magnitude of the angular momentum of the child before the collision?kgÂ m?/s(c) Relative to the axle, what was the angular momentum of the system of child plus disk just after the collision?kgÂ m?/s(d) If the disk was initially at rest, now how fast is it rotating? That is, what is its angular speed? (The moment ofinertia of a uniform disk is Â½MR2.)W =radians/s 10:16 PM Fri Dec 4100%(e) How long does it take for the disk to go around once?Time to go around once =SENERGY(f) If you were to do a lot of algebra to calculate the kinetic energies before and after the collision, you would findthat the total kinetic energy just after the collision is less than the total kinetic energy just before the collision. Wherehas most of this energy gone?Increased thermal energy of the disk and child.Increased translational kinetic energy of the disk.Increased chemical energy in the child.МОМENTUМ(g) What was the speed of the child just after the collision?V =m/s(h) What was the speed of the center of mass of the disk just after the collision?Vcmm/s(i) What was the magnitude of the linear momentum of the disk just after the collision?kgÂ-m/s(j) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including theaxle), from just before to just after impact, due to the impulse applied by the axle. Take the x axis to be in thedirection of the initial velocity of the child.Apx = Px,f - Px,i =kgÂ-m/sANGULAR MOMENTUM(k) The child on the disk walks inward on the disk and ends up standing at a new location a distance R/2 = 1.1 mfrom the axle. Now what is the angular speed? (It helps to do this analysis algebraically and plug in numbers at theend.)W =radians/sENERGY

Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 18 kg runs at speed v = 2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. R m ANGULAR MOMENTUM (a) Consider the system consisting of the child and the disk, but not including the axle. Which of the following statements are true, from just before to just after the collision? The momentum of the system doesn't change. OThe torque exerted by the axle is zero because the force exerted by the axle is very small. O The momentum of the system changes. O The angular momentum of the system about the axle hardly changes. O The axle exerts a force on the system but nearly zero torque. O The torque exerted by the axle is nearly zero even though the force is large, because |7| is nearly zero. O The angular momentum of the system about the axle changes. (b) Relative to the axle, what was the magnitude of the angular momentum of the child before the collision? |īcl = | kgÂ-m²/s (c) Relative to the axle, what was the angular momentum of the system of child plus disk just after the collision? |Icl = kgÂ m2/s

A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 18 kg runs at speed v = 2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. R m ANGULAR MOMENTUM (a) Consider the system consisting of the child and the disk, but not including the axle. Which of the following statements are true, from just before to just after the collision? The momentum of the system doesn't change. OThe torque exerted by the axle is zero because the force exerted by the axle is very small. O The momentum of the system changes. O The angular momentum of the system about the axle hardly changes. O The axle exerts a force on the system but nearly zero torque. O The torque exerted by the axle is nearly zero even though the force is large, because |7| is nearly zero. O The angular momentum of the system about the axle changes. (b) Relative to the axle, what was the magnitude of the angular momentum of the child before the collision? |īcl = | kgÂ-m²/s (c) Relative to the axle, what was the angular momentum of the system of child plus disk just after the collision? |Icl = kgÂ m2/s

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)...

See similar textbooks

Similar questions

Ballistic pendulum: A projectile of mass m = 1 kg is fired with an initial speed v0 = 20 m/s at the bob of a pendulum with radius R = 3 m. The bob has mass M = 4 kg and is suspended by a rod of negligible mass. After the collision the projectile and bob stick together and swing at speed vf through an arc reaching height h and stop. (assume g=10 m/s2) (1) What is the speed vf just after the collision ? (2) What is the total kinetic energy for projectile and bob together just after the collision?
Three point particles of mass 1 kg, 1.5 kg and 2.5 kg are placed at three corners of a right triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The centre of mass of the system is at the point: a. 0.9 cm right and 2.0 cm above 1 kg mass b. 2.0 cm right and 0.9 cm above 1 kg mass c. 1.5 cm right and 1.2 cm above 1 kg mass d. 0.6 cm right and 2.0 cm above 1 kg mass
A skateboard of mass m rests on the top of a hemispheric dome of radius R. After giving the skateboard a small kick, imparting an initial speed of vo, it begins rolling down the dome. Let the angle 0 indicate the location of the skateboard as it rolls down the surface of the dome. R 1. Eventually, the skateboard will lose contact with the dome. Given m, R, vo, and g, find the angle 0. at which the skateboard loses contact. Express your answer symbolically (i.e. without numbers). Check your work. Suppose you choose m = 1.5 kg, vo = g = 9.81 m/s. In this case, your answer should evaluate to 0. = 34.2°. 4.5 m/s, R = 4.3 m, and 2. Given m, R, and g, determine the range of speeds for which it is impossible to remain in contact with the wall at all.
A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. After he tucks the body, what is his angular velocity about the transverse axis?
A 2 kg mass ball swings (j) in a m = 2 kg VA =0 %3D vertical circle at the end of 0.8 m L=0.8m string. It falls from rest when it was horizontal at A (see fig) and hits another ball with the same mass at rest. A The second travels horizontally on a smooth surface after collision and is 8 = 10m/s brought to rest after compressing a spring (k= 200N/m) to 0.3 m. What were the speeds of the balls after they collide at B. (g%3D10M/s) B VIB = ? Select one: a. 4 m/s b. 3 m/s c. 8 m/s d. 1 m/s O O O O
A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR2) with a radius of 3 m mounted to rotate freely about a central axis. On the edge of %3D the disk is an essentially massless bar. A 25 kg child jumps onto the bar (tangentially to the outer rim of the disk) at a speed of 12 m/s and a distance of 3 m from the rotation axis. If we think of the child as being essentially a point mass, what is the angular velocity of the system after the collision?
A 3.0-kg mass slides on a frictionless horizontal surface with a speed of 3.0 m / s when it collides with a 1.0-kg mass initially at rest as shown in the figure. The two masses stick to each other and slide on a frictionless circular wheel portion of radius 0.40 m. At what maximum height h, above the horizontal, do the masses reach? Answers: a) 0.18 m b) 0.15 m c) 0.21 m d) 0.26 m e) 0.40 m
The figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.1) The disk has mass M = 4.73 kilograms and radius R = 0.755 meters. The clay has mass m = 279 grams and is moving horizontally at vi = 3.66 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 2) Calculate the angular velocity (rad/s) of the disk just after the collision.
In Figure 2, two skaters, each of mass 52 kg, approach each other along parallel paths separated by 2.6 m. They have opposite velocities of 1.5 m/s each. One skater carries one end of a long pole of negligible mass, and the other skater grabs the other end as she passes. The skaters then rotate around the center of the pole. Assume that the friction between skates and ice is negligible and the skaters can be treated as mass points. Calculate (a) the angular speed of the skaters (b) the kinetic energy of the two-skater system Next, the skaters pull along the pole until they separated by 1.0 m. Calculate (c) the new angular speed of the skaters (d) the new kinetic energy of the two-skater system 1.5 m/s 2.6 m 1.5 m/s Figure 2
62
A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.63 m/s, strikes the rod at angle θ = 55° from the normal at a distance D = 2/3 L, where L = 1.25 m, from the point of rotation and sticks to the rod after the collision. a) What is the initial angular momentum of the ball, in kilogram meters squared per second, right before the collision relative to the pivot point of the rod? b)What is the total moment of inertia If with respect to the hinge, of the rod-ball-system after the collision, in terms of the variables from the problem statement? c) What is the angular speed ωf of the system immediately after the collision, in radians per second?
Find the magnitude of the reaction at A