# Linear Momentum: Conservation of Momentum

### Problems

Problem :

Four billiard balls, each of mass .5 kg, all are traveling in the same direction on a billiard table, with speeds 2 m/s, 4 m/s, 8 m/s and 10 m/s. What is the linear momentum of this system?

Problem :

A 60 kg man standing on a stationary 40 kg boat throws a .2 kg baseball with a velocity of 50 m/s. With what speed does the boat move after the man throws the ball? Assume no friction between the man and the boat.

Problem :

A .05 kg bullet is fired at a velocity of 500 m/s, and embeds itself in a block of mass 4 kg, initially at rest and on a frictionless surface. What is the final velocity of the block?

Problem :

An object at rest explodes into three pieces. Two, each of the same mass, fly off in different directions with velocity 50 m/s and 100 m/s, respectively. A third piece is also formed in the explosion, and has twice the mass of the first two pieces. What is the magnitude and direction of its velocity?

Problem :

A spaceship moving at 1000 m/s fires a missile of mass 1000 kg at a speed of 10000 m/s. What is the mass of the spaceship it slows down to a velocity of 910 m/s?

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