suppose you have two toy cars. Each has a mass of 0.04 kg . the cars have tape on their bumpers that will cost them to couple together. One car is stopped on the track. The other car, traveling at a velocity of 4 m/s, hits the first car. What is the momentum of the coupled cars? Answer ASAP! ​

Respuesta :

The momentum of the coupled cars is 0.16 kg m/s

Explanation:

We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two cars must be conserved before and after they couple together.

Mathematically, this can be written as

[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = p_f[/tex]  

where:  

[tex]m_1 = m_2 = 0.04 kg[/tex] is the mass of the two cars

[tex]u_1 =4 m/s[/tex] is the initial velocity of the first car

[tex]u_2=0[/tex] is the initial velocity of the second car, which is at rest

[tex]p_f[/tex] ithe momentum of the coupled cars, after the collision

By re-arranging the equation and substituting the values that we have, we find the final momentum:

[tex]p_f = m_1 u_1 + m_2 u_2 = (0.04)(4)+0=0.16 kg m/s[/tex]

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Universidad de Mexico