### Moment of inertia

Moment of inertia of a circular ring of mass M and radius a about a line through its centre perpendicular to its plane

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Moment of inertia of a circular ring of mass M and radius a about a line through its centre perpendicular to its plane

Moment of inertia of a solid sphere

A satellite is at rest in space when destroyed by a hostile alien space ship. One piece that is 100 kg floats away at a speed of 0.80C. Another piece floats away with a speed of 0.90C away from the explosion in the opposite direction. What is the mass of the piece that flew away in traveling at 0.90C. Determine this two ways

A 3kg ball of putty moving at 1 m/s collides and sticks to a 2kg ball initially at rest. The putty and ball then move with a momentum of:

1. A car crashes into a wall at 25 m/s and is brought to the rest in 0.1 s. Calculate the average force exerted on a 75-kg test dummy by the seat belt. 2. A railroad diesel engine weighs four times as much as a freight-car. If the diesel engine coasts at 5 km/h into a freight-car that is initially at rest, how fast do the

Problem: Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. One is moving upward along the y axis at 2.0 m/s, and the other is moving to the right along the x axis with speed 3.8 m/s. After the collision (assumed elastic), the second ball is moving along the positive y axis.

A child in a boat throws a 6.00 kg package out horizontally with a speed of 10 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and that of the boat is 50.0 kg.

A 0.025kg bullet traveling at 305m/s strikes a 1.500 kg ballistics pendulum hanging from a 2.00 m long string and buries itself in the block. How many degrees backward will the block swing? Do not use the law of conservation of momentum.

The problem is related to variable mass systems. A cylinder is moving through dust particles and the particles are sticking to it.

Consider a ducted propeller system, which is moving forward at a velocity V1. Analyse the system by assuming the duct remains stationary, as shown in the above diagram. If, for a specific design and point of operation, V2/V1=9/4 and V1/V2=5/4, then what is the thrust produced by the propeller in terms of the pressures at 2 and 3

A uniform 2.45kg spinning disk with a radius of 0.243m is brought to rest by a brake pad pressed against the side 0.183m from the rotation axis. The wheels is brought to rest from an angular velocity of 15.4rad/s in a time of 24.3s. What frictional force was applied by the brake pad.

A 1500-kg car traveling due East at 30 m/s crashes into a 2000-kg vehicle heading North at 25 m/s, exactly in the center of an icy intersection and the two remain stuck together. Ignoring frictional forces, determine the initial velocity and direction of the crumpled vehicles immediately after the crash.

A man weighs 150lb and jumps onto a boat which is originally at rest. If he has a horizontal component of velocity of 3 ft/s just before he enters the boat, determine the weight of the boat if it has a velocity of 2 ft/s once the man enters it.

Two men A and B, each having a weight of 160lb, stand on the 200lb cart with wheels. Each man runs with a speed of 3 ft/s measured relative to the cart. Determine the final speed of the cart if a.) A runs and jumps off, then B runs and jumps off the same end, and b.) both run at the same time and jump off at the same time. Negle

18. A 0.20-kg billiard ball traveling at a speed of 15 m/s strikes the side rail of a pool table at an angle of 60 degrees. If the ball rebounds at the same speed and angle, what is the change of momentum? 34. When bunting, a baseball player uses the bat to change both the speed and direction of the baseball. (a) Will the mag

For the attached problem set, the answers are included. The solution therefore should provide the work - how were the answers calculated? 7. The linear momentum of a runner in a 100-m dash is 7.5 * 10 kg * m/s. If the runner's speed is 10m/s, what is his mass? 13. A 15.0-g rubber bullet hits a wall with a speed of 150m/s.

An astronaut performs maintenance work outside her spaceship when the tether connecting her to the spaceship breaks. The astronaut finds herself at rest relative to the spaceship, at a distance x1 from it. To get back to the ship, she decides to sacrifice her favorite wrench and hurls it directly away from the spaceship at a spe

A ball of mass 2 m is projected upward with speed Vo(or V=0)from the floor. Another ball of mass m is hung from the ceiling by a light string at a height h directly above the first ball, so that the projected ball collides with it. Derive an expression for the height about the floor to which the second ball will rise as a funct

A 9.72-g bullet is fired from a 30-30 rifle at a speed of 728 m/s into the 1.250 kg block of ballistic pendulum suspended by strings 3.9 m long. A) through what vertical distance does the block rise? B) how far does it swing horizontally? The book key is showing 1.61m for A.) and 3.16m for B.). Please show the workings t

Please answer each question with step by step answers so I understand the solutions. Thanks! 1. A space probe is in deep space far beyond the edge of the solar system when it uses up all its nuclear fuel. What is true? (a) The space probe will immediatly come to a stop (b) The space probe will very slowly come to a stop (

Please see attached. Thank you!

Material is blown into cart A from cart B at a rate b kilograms per second. The material leaves the chute B vertically downard, so that it has the same horizontal velocity as cart b , "u". At the moment of interest, cart A has mass M and velocity "v" . Find dv/dt the instantaneous acceleration of A . In the drawing,

1. Conservation of Momentum and COM reference frame: Two particles are sliding directly towards each other on a frictionless surface. According to an observer in the laboratory reference frame, a 3.00kg particle moves to the right at 10.00m/s and a 5.00kg particle moves towards the left at 2.00m/s. After the head-on collision, t

A sizeable quantity of earth is washed down the Mississippi River and deposited in the Gulf of Mexico. What effect does this tend to have on the length of a day?

A 62-kg child is sitting on a wagon full of bricks that has a mass of 150 kg. In order to move the wagon without touching the ground, the child throws two bricks each of mass 3.0 kg in the direction opposite to the direction the wagon is to go. How fast will the wagon move if the bricks are thrown at 2.0 m/s?

A 1200 kg car is moving east at 30 m/s and collides with a 3600 kg truck moving at 20 m/s in a direction 60 degrees north of east. The vehicles interlock and move off together. Find their velocity (magnitude and direction). OK, I used conservation of linear momentum and said that the final velocities were equal. Dividing the

In Fig. 9-32a, a 5.1 kg dog stands on an 21 kg flatboat and is 6.1 m from the shore. He walks 2.1 m on the boat toward shore and then stops. Assuming there is no friction between the boat and the water, find how far the dog is then from the shore? (Hint: See Fig. 9-32b. The dog moves leftward; the boat moves rightward; but does

A shell is fired from a gun with a muzzle velocity of 14 m/s, at an angle of 60° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (Fig. 9-30). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment la

A raft of mass 180kg carries two swimmers of 50 kg and 80 kg. The raft is initially at rest but the swimmers dive off opposite ends each at 3 m/s. With what velocity and in what direction does to raft start to move?

A golf ball weighing .45 N is dropped from a height 1 meter and has a perfect elastic collision with the floor. What is time required to hit floor? What is the instantaneous momentum of the ball before it strikes the floor? What will be the change in momentum from the instant before it hits the ground to right after it