# THE PHYSICS CLASSROOM 2009 MOMENTUM PROBLEM SOLVING ANSWER KEY

The total momentum of the system the collection of two objects is conserved. This statement can be expressed in equation form as follows. In an inelastic collision, the kinetic energy of the colliding objects is transformed into other non-mechanical forms of energy such as heat energy and sound energy. After the collision, the ball and the mitt move with the same velocity v. The bug has less mass and therefore more acceleration; occupants of the very massive bus do not feel the extremely small acceleration. Regardless of how long the time is, it can be said that the time that the force acts upon object 1 is equal to the time that the force acts upon object 2.

This law of momentum conservation will be the focus of the remainder of Lesson 2. The money lost by Jack is equal to the money gained by Jill. If a ball is projected upward from the ground with ten units of momentum, what is the momentum of recoil of the Earth? Forces result from interactions or contact between two objects. The collision causes the ball to lose momentum and the person to gain momentum. This law becomes a powerful tool in physics because it allows for predictions of the before- and after-collision velocities or mass of an object. Both the baseball and the catcher’s mitt move with a velocity of

Momentum is conserved in the collision. Later in Lesson 2, we will use the momentum conservation principle to solve problems in which the after-collision velocity of objects is predicted.

This statement can be expressed in equation form as follows. As an equation, this can be stated as.

A baseball player holds a bat loosely and bunts a ball. Draw a vector diagram in which the before- and after-collision momenta of each player is represented by a momentum vector. After the collision, the ball and the mitt move with the same velocity v. Since the mass of the Earth snswer extremely large, the recoil velocity of the Earth is extremely small and therefore not felt. Before the collision, the ball has momentum and the catcher’s mitt does not.

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These Interactives can be found in the Physics Interactive section of our website and provide an interactive experience in analyzing the momentum of individual objects and systems of objects in collisions.

There are additional practice problems with accompanying solutions later in this lesson that are worth the practice. After the collision, the ball and the person travel with the same velocity v across the ice.

If object 1 loses 75 units of momentum, then object 2 gains 75 units of momentum. To simplify matters, we will consider any collisions in which the two colliding objects stick together and move with the same post-collision speed to be an extreme example of an inelastic collision.

# Using Equations as a Recipe for Algebraic Problem-Solving

The rifle would have a recoil velocity that is ten times larger than the bullet’s velocity. Finally, the table shows the change in the amount abswer money possessed by the two individuals. And that’s exactly what you do when you use one calssroom The Physics Classroom’s Interactives.

A useful means of depicting the transfer and the conservation of money between Jack and Jill is by means of a table. You have to interact with it! Thus, the total momentum before the collision possessed solely by the baseball equals the total momentum after the collision shared by the baseball and the ptoblem mitt. The total momentum of the system the collection of two objects is conserved. The two collisions above are examples of inelastic collisions.

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# Momentum Conservation Principle

After all, argues Miles, there was no noticeable change in the speed of the bus compared to the obvious change in the speed of the bug. The collision causes the ball to lose momentum and the catcher’s mitt to gain momentum. Express your understanding of the concept and mathematics of momentum by answering the following questions.

While this is not technically an elastic collision, it is more elastic than the previous collisions in which the two objects stick together.

This would produce the effect of “the rifle actually being the bullet. While the two vehicles experience the same force, the acceleration is greatest for the Volkswagon due to its smaller mass. The earth recoils with 10 units of momentum. However, physics is about concepts and the variety of means in which they are represented. Miles Tugo and Ben Travlun are riding in a bus at highway speed on a nice summer day when an unlucky bug splatters onto the windshield.

As predicted, the truck has lost momentum slowed down and the car has gained momentum.

## Momentum Conservation Principle

What Can Teachers Do It could be said that the total amount of money of the system the collection of two people is conserved. The actual momentum of the loaded cart can be determined using the velocity often determined by a ticker tape analysis and the mass. The above equation is one statement of the law of momentum conservation.