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Conservation of Momentum

Inelastic Collision: Conservation of Momentum

Question: On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the halfback is sliding with a velocity of 7.2 m/s east. What is the velocity (magnitude and direction) at which the two players move together

Magnitude

Block 1, of mass = 3.30, moves along a frictionless air track with speed = 31.0. It collides with block 2, of mass = 15.0 , which was initially at rest. The blocks stick together after the collision A.) Find the magnitude of the total initial momentum of the two-block system. Express your answer numerically. B.) Fi

Mass of Puck in a Situation with Another Puck

Puck 1 of mass m1=.20kg is sent sliding across a frictionless lab bench, to undergo a one-dimensional elastic collision with the stationary puck 2. Puck 2 then slides off the bench and lands a distance d from the base of the bench. Puck 1 rebounds from the collision and slides off the opposite edge of the bench, landing a distan

Rate of rotation

A diver can change her rate of rotation in the aair by "tucking" her head in and bending her knees. Let's assume that when she is stretched out straight she is rotating at 1 revolution per second. Now she goes into the "tuck and bend", effectively shortening the length of her body by half. What will her rate of rotation be now?

Inertia Ratio between Solid Spheres of Different Mass

Consider two uniform solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is a. 10 b. 4 c. 6 d. 2 e. 8

Solving a conservation of momentum problem

How fast must a 10.5g bullet be traveling when it strikes a ballistic pendulum that consist of a block of wood of mass 3.0kg that is suspended by a cord? The bullet gets embedded in the block. The block rises by .22m after the impact. a. 143 m/s b. 595 m/s/s c. 595 m/s d. 2.67 m/s

Conservation of Momentum and Collision Review

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

Solving: Linear Momentum and Collisions

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.

Linear Momentum: Child in a Boat

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.

More simple physics

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.

Classical mechanis, conservation of total momentum

Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle omega south of east. After the collision, the two-car system travels at speed v_final at an angle theta east of north. What is the angle theta with resp

Propeller Flow - Momentum Equation

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

Conservation of Angular Momentum: Suspended Rod

The 6lb slender rod AB is originally shown at rest, suspended in the vertical position. A 1lb ball is thrown at the rod with the velocity v= 50ft/s and strikes the rod at C. Determine the angular velocity of the rod just after the impact. Take e = 0.7 and d= 2ft. (See attachment for diagram)

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?

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

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

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

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