Collisions: Difference between revisions
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===Simple=== | ===Simple=== | ||
Example 1) | Example 1) | ||
A 0.5 kg soccer ball is moving with a speed of 5 m/s directly toward to 0.7 basket ball which is at rest. | A 0.5 kg soccer ball is moving with a speed of 5 m/s directly toward to 0.7 kg basket ball which is at rest. | ||
When two balls collide and sticks together what will their final velocity be? | When two balls collide and sticks together what will their final velocity be? | ||
___ | |||
m1 = 0.5 kg | |||
v1,init = 5 m/s | |||
m2 = 0.7 kg | |||
v2,init = 0 m/s | |||
So m1 * v1 + m2 * + v2 = (m1 + m2) * vfinal | |||
LHS = 0.5 * 5 + 0.7 * 0 = 2.5 kg*m/s | |||
RHS = (0.5 + 0.7) * vfinal = 1.2 * vfinal | |||
LHS = RHS in inelastic collision | |||
2.5 = 1.2 * vfinal | |||
vfinal = 2.5 / 1.2 = 2.08333 | |||
Thus, the final velocity is 2.08 m/s. | |||
===Middling=== | ===Middling=== | ||
Revision as of 07:50, 16 April 2016
CLAIMED BY MEGAN STEVENS
This topic covers Collisions, a comprehensive way to combine the Momentum and Energy Principles.
The Main Idea
Collisions are special types of contact interactions between objects. From a physics standpoint, collisions are a way to combine the Momentum and Energy Principles. In the case of collisions, if we choose a system of the two objects interacting, the change in momentum of the system and the change in energy of the system are both zero. With this in mind, calculations with collisions become very simple. There are two types of collisions, Elastic Collisions and Inelastic Collisions.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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Simple
Example 1) A 0.5 kg soccer ball is moving with a speed of 5 m/s directly toward to 0.7 kg basket ball which is at rest. When two balls collide and sticks together what will their final velocity be? ___
m1 = 0.5 kg v1,init = 5 m/s m2 = 0.7 kg v2,init = 0 m/s
So m1 * v1 + m2 * + v2 = (m1 + m2) * vfinal
LHS = 0.5 * 5 + 0.7 * 0 = 2.5 kg*m/s RHS = (0.5 + 0.7) * vfinal = 1.2 * vfinal
LHS = RHS in inelastic collision
2.5 = 1.2 * vfinal
vfinal = 2.5 / 1.2 = 2.08333
Thus, the final velocity is 2.08 m/s.
Middling
Difficult
Connectedness
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History
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See also
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