A spherical satellite of approximately uniform density with radius 5.1 m and mass 290 kg is originally moving with velocity <2600,0,0> m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.5 kg is initially moving toward the satellite with velocity <-2200,0,0> m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity <-1300,480,0> m/s. Both before and after the collision, the rotation of the space junk is negligible.
A spherical satellite of approximately uniform density with radius 5.1 m and mass 290 kg is...
4. Space Junk (8 points) A satellite, with a mass of 60 kg, is traveling at a velocity vs = 75 m/s in the x direction, as shown in the figure below. It is struck by a wrench, with a mass of 3 kg, accidentally dropped by an astronaut, which is moving at a velocity Vw -170 m/s in the negative y direction. The collision is completely inelastic. (a) (2 points) Before the collision, what is the wrench's kinetic energy?...
Questions 10-12 A uniform rod of mass M-0.6 kg and length -1 m with a point mass m0.3 kg at its free end is rotating with angular speed s-10.0 rad/s about the s-axis, as shown in the M.L 2m moving in the plane of rotation collides perpendicularly in the direction of the rotation of the rod and sticds to the rod at a distance 2L/3 form point P with a linear speed Jup.. What is the angular monentum vector relative...
A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00 cm = 0.0600 m is rotating freely around a fixed vertical axis without any friction. Its initial angular velocity is ?1= 102 rad/s. A bug of mass m = 6.00 g = 0.00600 kgdrops onto the center of the rotating DVD. The bug then walks radially outward toward the edge of the DVD without slipping until it reaches a distance r from the center,...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass. The axis is perpendicular to the disk. The moment of inertial for the disk with a central axis is I MR2. Two non-rotating smaller disks, each with mass M2 and radius R/4, are glued on the original disk as shown in the figure. (a) Show that the ratio of the moments of inertia is given by I'/I = 35/16, where I' is the moment...
A uniform, spherical cloud of interstellar gas has mass 2.2×1030 kg and radius 9.0×1012 m , and is rotating with period 1.5×106 years. If the cloud collapses to form a star 7.4×108 m in radius, what will be the star's rotation period?
A uniform, spherical cloud of interstellar gas has mass 2.0×1030 kg and radius 1.2×1013 m , and is rotating with period 1.3×106 years. If the cloud collapses to form a star 6.9×108 m in radius, what will be the star's rotation period?
Q19: The uniform rod of mass M- 2 kg and length of L- 8 cm is free to rotate about a horizontal axis shown in the figure. An object of mass 0.4 kg moving with 24 m/s strikes and then sticks to the initially stationary rod as shown. If rotational inertia of the rod according to its center of mass is given as Icmdisk M, find the a) rotational inertia of the system before and after collision, b) angular speed...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk? (See fig. 8.15.) b. What is the angular momentum of the disk? E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk?...
These questions concern a space station, consisting of a long thin uniform rod of mass 4.3 x 10^6 kg and length 769 meters, with two identical uniform hollow spheres, each of mass 1.7 x 10^6 kg and radius 218 meters, attached at the ends of the rod, as shown below. Please note that none of the diagrams shown is drawn to scale. A. Suppose that the station starts out at rest (not rotating). What we want is to get it...