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Conservation of Momentum

Conservation of Momentum in One Dimensional Collisions

A 7.45g bullet from a 9mm pistol has a velocity of 353m/s. It strikes the 0.725kg block of a ballistic pendulum and passes completely through the block. If the block rises through a distance h=12.1cm, what was the velocity of the bullet as it emerged from the block?

Collisions - Velocity and Direction

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.

Weight of Boat

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.

Speed of Cart

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

Elastic and Inelastic Collisions and Momentum

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.

Physics in Space: Conservation of Momentum

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

One Dimensional Elastic Collision

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

Conservation of Momentum in Collisions

A 7.2 kg bowling ball moving at 2.74 m/s strikes an identical ball that is originally at rest. After the collision the path of the intitially moving ball makes an angle of 27 degrees with respect to its original path. The path of the second ball makes an angle of -53 degrees with respect to the same direction. What is the speed

Linear Momentum for a Fired Bullet

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

Momentum of a Space Probe

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 (

Mechanics

A Steel pile is driven a distance (d) into the ground by a hammer of mass (M) 450kg, dropped from a height (h) of 3.25m above the top of the pile. The mass of the pile (m) is 40kg and the average resistance of the ground to penetration (Fr) is 45kN. Calculate: b. The velocity and kinetic energy of the hammer-pile combinati

Momentum of carts of sand: Material is blown into cart

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,

Relativity: Conservation of momentum particle question

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

Conservation of momentum problem

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?

Inelastic Collision. What is magnitude and direction of final velocity?

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

Conservation of Momentum in 2D

An object at rest explodes into three pieces of equal mass. One moves east at 20 m/s; a second moves 45 degrees south of east at 30 m/s. What is the velocity of the third piece? OK, I know that the initial linear momentum of zero must be conserved, so I can start summing my momentum in the x and y directions. I'm just confuse

A momentum problem

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

Momentum and projectile motion.

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

Jumping Off a Raft

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?

Momentum of a Dropped Ball

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

Momentum Kinetic Energy Impulse

1. A pitcher claims he can throw a 0.145 kg baseball with as much momentum as a speeding bullet. Assume that a 3.00 g bullet moves at a speed of 1.50 x 10^3 m/s. a. What must the baseball's speed be if the pitcher's claim is valid? B. Which has greater kinetic energy, the ball or the bullet? 2. What is the relations

Collision or a parked car: speed, average force and momentum

A car with a mass of 2,200 kg traveling at a velocity of 20 m/sec collides with a parked car. After the collision its velocity is +10 m/sec. If the mass of the parked car is 1,200 kg, determine: (a) Speed of the parked car after the collision. (b) Average force exerted on the parked car if the collision time (delta t) =0.

Collision of a car: Speed, average force, total momentum

A car with a mass of 2200 kgm traveling at a velocity of 20 m/sec collides with a parked car. After the collision its velocity is +10 m/sec. If the mass of the parked car is 1200 kgm, determine (a) Speed of the parked car after the collision. (b) Average force exerted on the parked car if the collision time (delta t) =0