Conservation of Momentum

 

Momentum:  A quantity that expresses the motion of a body and its resistance to slowing down.  It is equal to the product of the object's mass and velocity.

 

We use the term momentum in daily life often.  Let's say you've started cleaning your room and you don't want to stop quite yet, because you've built up momentum.  It's the same idea.

If you read the definition it reminds you a little of inertia, doesn't it?  The idea that something moving will keep on moving.  But if we stop that something, the energy of motion doesn't get destroyed, just transferred.

 

The Challenge:  You're going to be simulating a car crash!

 

The Tools:  The dynamics carts, bricks, meter sticks, masking tape and a fairly big space on the floor where you won't get stepped on.

 

The Tricks of the Trade:

Since we don't have a good way of measuring velocity in the classroom, we are going to consider velocity and distance to be directly related.  Do you agree it is reasonable to expect things with higher velocities to go further?

 

Directions:

Take a look at the two dynamics carts you have.  One is a "dud".  The other has an exploding mechanism.  To activate the exploding mechanism, carefully push the rubber tipped plunger into the cart until its notch hooks on the edge of the car.  To release the exploding mechanism, gently tap the red button on the top of the cart.  Please only do this if the cart is sitting flat.

 

The exploding mechanism will allow us to more accurately control and recreate the force of the impact between the carts.  Determine with your partner which setting would produce the most force and which would produce the least.

 

Push the plunger in the car so it will release the least amount of force.  Put one brick on each cart.  Place the "dud" cart close enough to the exploder so that it will be "hit".  This will be the same as if they were in a head-on collision going the same speed. 

 

Mark the start spot of each cart on the floor with masking take.  Use a meter stick to tap the red release button being sure not to give the cart a push at the same time.  (This can be tricky and may take some practice.)  Record the distance each cart travels in a certain amount of time.  (You decide. 5 – 10 seconds seems reasonable, but I leave it up to you.)  Record your data and repeat with the following situations.

·      Both carts = 1 brick (as described above)

·      Exploder cart = 1 bricks, dud = 0 bricks

·      Exploder cart = 0 bricks, dud = 1 bricks

Data Table:

 

# of bricks

exploder cart

# of bricks

dud cart

Travel time

(s)

Distance of exploder cart

(in meters)

Distance of

dud cart

(in meters)

Ave. speed of exploder (m/s)

Ave. speed of dud (m/s)

 

 

 

 

 

 

 

 

 

 

 

Calculations:

Calculate the average velocity of each cart.

 

Questions:

To be answered on a separate piece of paper as an individual for homework.  Please use paragraph structure, complete sentences and observe the conventions of writing.  This may be hand written or word-processed.

 

  1. What can you say about the relationship between mass (# of bricks) and velocity?  Are they directly or inversely related?  Explain how do you know

 

  1. Let's apply this to real life!  Consider a head-on car crash between a large SUV and a Volkswagen bug both traveling the same speed.  Based on your experiments here, what would happen?

 

  1. And again, a real life applicationŠwith a twist.  Imagine you have two identical twins (hence the same mass) ice skating.  They collide head on.  Twin one is going twice as fast as twin two.  Predict their speeds after the collision (and yes, we'll assume they bounce off each other).  If a picture would help explain, go for it!