A bullet of mass 5.0 grams and velocity 330 m/s is shot into a wheel that is initially at rest. The wheel is solid disk of mass 2.0 kg and radius 18 cm. The bullet strikes the edge tangentially and sticks to the edge. What are the disks final angular velocity, angular momentum and rotational kinetic energy?
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A bullet of mass 5.0 grams and velocity 330 m/s is shot into a wheel that is initially at rest. The wheel is solid disk of
mass 2.0 kg and radius 18 cm. The bullet strikes the edge tangentially and sticks to the edge. What are the disks final
angular velocity,
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- a torque is applied to a stationary disk, accelerating it to an angular v of 15rad/s in t=8sLx Gi A 325-kg merry-go-round with a radius of 1.50 m is spinning counterclockwise, as viewed from above, at 4.80 rad/s. A 35.0-kg child is hanging on tightly 1.25 m from the rotation axis. Her father applies friction to the outer rim to slow the merry-go-round to a stop in 5 s. Model the merry-go-round as a solid disk, and define counterclockwise as the positive direction of rotation. How much torque t must the child's father apply? 432 T = N-m IncorrectA bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (the figure) slides on the lane with initial speed vcom.O friction between the ball and the lane is 0.29. The kinetic frictional force 7k acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of = 8.4 m/s and initial angular speed wo 0. The coefficient of kinetic the ball. When speed vcom has decreased enough and angular speed p has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's (a) linear acceleration and (b) angular acceleration? (c) How long does the ball slide? (d) How far does the ball slide? (e) What is the linear speed of the ball when smooth rolling begins? Note that the clockwise direction is taken as negative. Vcotm (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units
- We will assume that the velocity of Juan's hand and the pencil were both 0.9 meters per second prior to impact and that his wrist added an angular velocity to the pencil of 7.4 radians/second. In reality the pencil dug in nearest to my thumb and did not poke through the back. For the purpose of this calculation we will instead say that the blue pencil of mass M and length of L pushed through my hand until 20% of its length was behind the hand. We will further assume that the normal force between the hand and the pencil was 120 Newtons and that the area of the point of the pencil was 0.0024mm2. The coefficient of kinetic friction between the pencil exterior and my flesh was 0.24 because I was running a slight fever and had a temperature of 102 degrees Fahrenheit. Write an expression for dm: dm = Write the result for the Moment of Inertia: I = The formula for Moment of Inertia in the form of an integral: I = ∫ Write an expression for the upper limit of the integral: Upper Limit…Suppose a 0.230 kg ball is thrown at 18.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown in the figure below. V (a) Calculate the final linear velocity (in m/s) of the person, given his mass is 92.0 kg. m/s (b) What is his angular velocity (in rad/s) if each arm is 8.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.810 m) and the rest of his body as a uniform cylinder of radius 0.170 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center. rad/s (c) Compare the initial and final total kinetic energies. O Initial kinetic energy is the same as final kinetic energy. O Initial kinetic energy is less than final kinetic energy. O Initial kinetic energy is greater than final kinetic energy.How much rotational kinetic energy in joules is there in a disk of radius 0.2 meters and mass 33 kg rotating at 1000 turns per second? Give your answer in joules.