A 10 g bullet traveling at 370 m/s strikes a 8.0 kg , 1.2-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. What is the angular velocity of the door just after impact?

Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg105 kg and a radius of 1.80 m1.80 m . The merry‑go‑round is spinning at 20.0 rpm.20.0 rpm. The children have masses of 22.0,22.0, 28.0,28.0, and 33.0 kg.33.0 kg. If the 28.0 kg28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.

A 16-kg block is attached to a cord that is wrapped around the rim of a flywheel of diameter 0.40 m and hangs vertically, as shown. The moment of inertia of the flywheel is 0.70 kg-m2. When the block is released and the cord unwinds, what is the acceleration of the block, expressed in terms of the acceleration due to gravity, g? 40 0.4 m 16 kg 1.8g O 1.0 g O 0.72 g 0.13 g O 0.48 g

A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500 re. The end of the blade hits a 0.25 kg croquet ball (point mass), and the ball sticks to the blade. min Before the collision, the ball was stationary. After the collision, the ball will be moving at the same angular velocity as the blade at a distance of half of the blade length from the axis of rotation. Treat the blade as a rod rotating around its center. The final angular velocity of the lawnmower blade and croquet ball combo is rad S

Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 21.3 rpm. The children have masses of 17.4, 28.5, and 38.8 kg. If the child who has a mass of 38.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

A disc (thin cylinder) of mass 0.05 kg and radius 0.65 m is rotating on a frictionless axle at a constant rate of 77 RPM. What a the angular velocity and angular momentum of the disc? の = rad/s L = kg-m2 A second disc of 0.02 kg and 0.23 m is dropped down the axle on top. The two then rotate together. What is the final angular velocity and RPM of the system of discs? rad/s RPM = RPM

A uniform thin rod of length 0.17 m and mass 4.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 10.0 rad/s immediately after the collision, what is the bullet's speed just before impact? Number Units Axis e

A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline. The ball's mass is 3.4 kg and its radius is 17.5 cm. What is the ball's final center of mass (translational) speed (in m/s)?

You throw a ball of mass 0.61 kg with speed 7.7 m/s at a cylinder of radius 0.22 m as shown. Theball hits the edge of the cylinder and sticks to it, and they spin about the cylinder’s central axis.What is the magnitude of the angular momentum of the ball about the center of the cylinder asthe ball approaches the cylinder?

You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a mass of 10.7 kg and is 1.25 m wide, and the 10 g bullet, traveling at 420. m/s, hits the door at the edge opposite the hinges. The bullet stops inside the door, which then swings open. What is the angular velocity of the door just after the bullet hits it?