18. Go As the drawing illus- m1 m2 trates, two disks with masses vo m, and m, are moving hori- zontally to the right at a speed of v,. They are on an air-hockey table, which supports them with an essentially frictionless cushion of air. They move as a unit, with a compressed spring between them, which has a negligible mass. Then the spring is released and allowed to push the disks outward. Consider the situation where disk 1 comes to a momentary halt shortly after the spring is released. Assuming that m, = 1.2 kg, m, = 2.4 kg, and v, = +5.0 m/s, find the velocity of disk 2 at that moment.

18. Go As the drawing illus- m1 m2 trates, two disks with masses vo m, and m, are moving hori- zontally to the right at a speed of v,. They are on an air-hockey table, which supports them with an essentially frictionless cushion of air. They move as a unit, with a compressed spring between them, which has a negligible mass. Then the spring is released and allowed to push the disks outward. Consider the situation where disk 1 comes to a momentary halt shortly after the spring is released. Assuming that m, = 1.2 kg, m, = 2.4 kg, and v, = +5.0 m/s, find the velocity of disk 2 at that moment.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

See similar textbooks

Similar questions

A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 3.00d, 4.00d), has mass 4.00mA, and particle C, at coordinates (–2.00d, 4.00d, –1.00d), has mass 4.00mA. A fourth particle D, with mass 2.00mA, is to be placed near the other particles. If distance d = 7.80 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?
A500g saleftile has been placed in a circular orbit 1500 km above the surface of the earth. The acceleration OE gravity at this elevation is 6.43 m/s. Determine the linear momentum of the satellite, knowing that its orbital speed is 30 x10' km/h. ST l-MME
An astronaut in orbit outside an orbiting space station throus her 800.0-g camera away in disgust when it jams. If she and her space suit together have a mass of 100.0 kg and the speed of the camera is 12.0 m/s what will be the speed of the astronaut after throwing the camera b. how far away from the space station will she be in 5 minutes?
A hiker inspects a tree frog sitting on a small stick in his hand.Suddenly startled, the hiker drops the stick from rest at aheight of 1.85 m above the ground and, at the same instant,the frog leaps vertically upward, pushing the stick down sothat it hits the ground 0.450 s later. Find the height of the frogat the instant the stick hits the ground if the frog and the stickhave masses of 7.25 g and 4.50 g, respectively. (Hint: Find thecenter-of-mass height at t = 0.450 s for the frog–stick systemand then use the definition of center of mass to solve for thefrog’s height.)
Consider a positive sign convention for counterclockwise rotation and a negative sign convention for clockwise rotation. If the line of action of a force, F, exerted on an object intersects the moment center, O, then the moment of F about point O is O zero. O one. O positive. O none of the choices O negative.
A 10 g ball bearing is placed at the top of a loop de loop track 30 cm above the top of a table andreleased from rest. After traveling through the track, the ball bearing rolls off of the table. If thetable is 1.10 m tall how far does the ball bearing travel before it hits the ground assuming thatair resistance and friction is negligible.
As the drawing illustrates, two disks with masses m, and m2 are moving horizontally to the right at a speed of vo. They are on an airhockey table, which supports them with an essentially frictionless cushion of air. They move as a unit, with a compressed spring between them, which has.a negligible mass. Then the spring is released and allowed to push the disks outward. Consider the situation where disk 1 comes to a momentary halt shortly after the spring is released. Assuming that m, = 1.5 kg, m2 = 2.2 kg, and vo = +5.9 m/s, find the velocity of disk 2 at that moment. m2 Vr2
Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (3.00d, 1.00d, 3.00d), has mass 4.00ma, and particle C, at coordinates (-2.00d, 1.00d, -1.00d), has mass 2.00ma. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.50 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero? (a) Number Units (b) Number |Units (c) Number Units
Scott decides to pick up some shifts at the Library Pub to earn extra cash that he is then going to donate to Acadia for a new Athletics Complex and Kine Building. His primary responsibility is to fill drink orders for customers. He fills a pitcher full of delicious Pepsi-Cola, places it on the shiny counter top and gives the 2.2 kg pitcher a 8.8 Newton forward push over a distance of 47 cm to send it over to his favorite customer at the end of the counter. The coefficient of friction between the pitcher and the counter top is 0.26. a) Determine the work done by Scott on the pitcher of delicious Pepsi during the 47 cm push b) Determine the work done by friction upon the pitcher of Pepsi? c) Determine the total work done upon the pitcher of Pepsi? d) Determine the kinetic energy of the pitcher of Pepsi when Scott is done pushing it. e) Determine the speed in m/s of the pitcher of Pepsi when Scott is done pushing it?
33. Two blocks are free to slide along the frictionless, AMT Wooden track shown in Figure P9.33. The block of W mass m, = 5.00 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnct, which repels the north pole of an iden- tical magnet embedded in the back end of the block of mass l, 10.0 kg, initially at rest. The two blocks %3D never touch. Calculate the maximum height to which m, rises after the elastic collision. Figure P9.33