Difference between revisions of "Forest UCM MnAM InElasticCol"
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Consider a collision between two bodies of mass <math>m_1</math> and <math>m_2</math> initially moving at speeds <math>v_1</math> and <math>v_2</math> respectively. They stick together after they collide so that each is moving at the same velocity <math>v</math> after the collision. | Consider a collision between two bodies of mass <math>m_1</math> and <math>m_2</math> initially moving at speeds <math>v_1</math> and <math>v_2</math> respectively. They stick together after they collide so that each is moving at the same velocity <math>v</math> after the collision. | ||
| + | |||
| + | If there are no external force then | ||
| + | ;Conservation of momentum | ||
| + | :<math>m_1 v_1 + m_2 v_2 = \left (m_1 + m_2 \right ) v</math> | ||
| + | |||
| + | Given that the amsses and initially velocities are known we can solve for v such that | ||
| + | |||
| + | :<math>v= \frac{m_1 v_1 + m_2 v_2}{m_1 + m_2}</math> | ||
[[Forest_UCM_MnAM#Inelastic_Collision_of_2_bodies]] | [[Forest_UCM_MnAM#Inelastic_Collision_of_2_bodies]] | ||
Revision as of 02:11, 12 September 2014
An Inelastic collision conservers Momentum But Not energy
Consider a collision between two bodies of mass and initially moving at speeds and respectively. They stick together after they collide so that each is moving at the same velocity after the collision.
If there are no external force then
- Conservation of momentum
Given that the amsses and initially velocities are known we can solve for v such that