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 ball of mass 0.265 kg that is moving with a speed of 5.1 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.3 m/s . a) Calculate the velocity of the target ball after the collision. b) Calculate the mass of the target ball. Solve using conservation of momentum and conservation of energy.
A satellite of mass 5000 kg is traveling east at 8000 m/s when it collides with a satellite-killing projectile of mass 500 kg moving straight up (away from the earth) at 3000 m/s. The projectile mostly misses the satellite, but it knocks off and sticks to a 125 kg-piece of the satellite. The projectile and the satellite piece move away at 45 degrees upward from east at 3400 m/s. The rest of the satellite continues to move directly east at...
A playground merry-go-round has a mass of 120 kg and a radius of 2.00 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 20.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest. a) 1.36 rad/s b) 1.88 rad/s c) 2.35 rad/s d) 3.21 rad/s
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?