Question

Provide an example of when momentum is conserved and explain your answer you can get 10 PTS if answered with a good explaination

Answer 1

`m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s`

Step-by-step explanation:

Conservation of Momentum

The total momentum of a system of two particles is

`p=m_1v_1+m_2v_2`

Where m1,m2,v1, and v2 are the respective masses and velocities of the particles at a given time. Then, the two particles collide and change their velocities to v1' and v2'. The final momentum is now

`p'=m_1v_1'+m_2v_2'`

The momentum is conserved if no external forces are acting on the system, thus

`m_1v_1+m_2v_2=m_1v_1'+m_2v_2'`

Let's put some numbers in the problem and say

`m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s`

`(8)(12)+(6)(4)=(8)(-6)+(6)(28)`

`96+24=-48+168`

120=120

It means that when the particles collide, the first mass returns at 6 m/s and the second continues in the same direction at 28 m/s